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Adsorption Properties of MFI-Type Zeolite Films for Upgrading of Biofuels

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(1)DOC TOR A L T H E S I S. ISSN 1402-1544 ISBN 978-91-7583-781-9 (print) ISBN 978-91-7583-782-6 (pdf) Luleå University of Technology 2016. Amirfarrokh Farzaneh Adsorption Properties of MFI-Type Zeolite Films for Upgrading of Biofuels. Department of Civil, Environmental and Natural Resources Engineering Division of Chemical Engineering. Adsorption Properties of MFI-Type Zeolite Films for Upgrading of Biofuels. Amirfarrokh Farzaneh. Chemical Technology.

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(3) ‘ –‘”ƒŽŠ‡•‹• . †•‘”’–‹‘”‘’‡”–‹‡•‘ˆ

(4) Ǧ›’‡‡‘Ž‹–‡ ‹Ž•ˆ‘”’‰”ƒ†‹‰‘ˆ‹‘ˆ—‡Ž•   ‹”ˆƒ””‘Š ƒ”œƒ‡Š   .     —Ž‡¤‹˜‡”•‹–›‘ˆ‡ Š‘Ž‘‰› ‡’ƒ”–‡–‘ˆ‹˜‹Žǡ˜‹”‘‡–ƒŽƒ†ƒ–—”ƒŽ‡•‘—” ‡•‰‹‡‡”‹‰ ‹˜‹•‹‘‘ˆŠ‡‹ ƒŽ‰‹‡‡”‹‰ Š‡‹ ƒŽ‡ Š‘Ž‘‰›  ‡„”—ƒ”›ʹͲͳ͹ . .

(5) Cover image and graphics designed by Kazhal Malekzadeh. Printed by Luleå University of Technology, Graphic Production 2017 ISSN 1402-1544 ISBN 978-91-7583-781-9 (print) ISBN 978-91-7583-782-6 (pdf) Luleå 2017 www.ltu.se.

(6)  . . DzŠ‡ Š‹‰Š‡•– ‹• –‘ —†‡”•–ƒ† –Šƒ– ƒŽŽ ˆƒ – ‹• ”‡ƒŽŽ› –Š‡‘”›Ǥ Š‡ „Ž—‡ ‘ˆ –Š‡ •› ”‡˜‡ƒŽ• –‘ —• –Š‡ „ƒ•‹  Žƒ™ ‘ˆ ‘Ž‘”Ǥ ‡ƒ” Š ‘–Š‹‰ „‡›‘† –Š‡ ’Š‡‘‡ƒǡ –Š‡› –Š‡•‡Ž˜‡• ƒ”‡ –Š‡ –Š‡‘”›Ǩdz ‘Šƒ‘Žˆ‰ƒ‰˜‘ ‘‡–Š‡ .

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(12) Abstract ‹–Š–Š‡†‡’Ž‡–‹‰”‡•‡”˜‘‹”•‘ˆˆ‘••‹Žˆ—‡Ž•ǡ‹ ”‡ƒ•‹‰‡˜‹”‘‡–ƒŽ ‘ ‡”• ˆ‘”ˆŽ—‡Ǧ‰ƒ•‡‹••‹‘•ˆ”‘ˆ‘••‹ŽǦˆ—‡Ž ‘„—•–‹‘ƒ†‰”‘™‹‰™‘”Ž†’‘’—Žƒ–‹‘ǡ –Š‡ ‡‡† ˆ‘” –Š‡ †‡˜‡Ž‘’‡– ‘ˆ ‡™ •—•–ƒ‹ƒ„Ž‡ ˆ—‡Ž• ‹• ‰”‡ƒ–‡” –Šƒ ‡˜‡”Ǥ ‘™‡˜‡”ǡ–‘„‡ƒ„Ž‡–‘ ‘’‡–‡™‹–Š–‘†ƒ›ǯ•ƒ–—”‡–‡ Š‘Ž‘‰‹‡•ˆ‘”’”‘†— –‹‘ ‘ˆˆ—‡Ž•ˆ”‘ˆ‘••‹Ž•‘—” ‡•ǡ‡™‡ˆˆ‹ ‹‡–’”‘ ‡••‹‰ƒŽ–‡”ƒ–‹˜‡•ˆ‘”—’‰”ƒ†‹‰‘ˆ „‹‘ˆ—‡Ž•—•–„‡†‡˜‡Ž‘’‡†Ǥ ‹‘ˆ—‡Ž• ’”‘†— ‡† „› ‡Ǥ‰Ǥ ˆ‡”‡–ƒ–‹˜‡ ’”‘ ‡••‡• Šƒ˜‡ „‡ ‘‡ ’”‘‹•‹‰ ƒŽ–‡”ƒ–‹˜‡• –‘ ˆ—‡Ž• ’”‘†— ‡† ˆ”‘ ˆ‘••‹Ž •‘—” ‡•Ǥ ‡ ‘˜‡”› ‘ˆ „‹‘ˆ—‡Ž• „› •‡Ž‡ –‹˜‡ ‡„”ƒ‡• ƒ† ƒ†•‘”„‡–• Šƒ• „‡‡ ‹†‡–‹ˆ‹‡† ƒ• ’”‘‹•‹‰ ‡‡”‰› ‡ˆˆ‹ ‹‡–”‡ ‘˜‡”›”‘—–‡•Ǥ

(13) ’ƒ”–‹ —Žƒ”ǡœ‡‘Ž‹–‡„ƒ•‡†ƒ†•‘”„‡–•ƒ†‡„”ƒ‡• •Š‘™‰”‡ƒ–’‘–‡–‹ƒŽ‹–Š‹•ƒ”‡ƒǤ 

(14)  –Š‹• ™‘”ǡ –Š‡ ƒ†•‘”’–‹‘ ’”‘’‡”–‹‡• ‘ˆ 

(15) Ǧ–›’‡ œ‡‘Ž‹–‡ ˆ‹Ž• ™‡”‡ •–—†‹‡† —•‹‰insituȋƒ––‡—ƒ–‡†–‘–ƒŽ”‡ˆŽ‡ –‹‘ȌΫ 

(16) ȋ ‘—”‹‡”–”ƒ•ˆ‘”‹ˆ”ƒ”‡†Ȍ •’‡ –”‘• ‘’› ‹ ‘”†‡” –‘ —†‡”•–ƒ† –Š‡ ƒ†•‘”’–‹‘ ’”‘’‡”–‹‡• ‘ˆ –Š‡•‡œ‡‘Ž‹–‡• ™‹–Š ƒ •’‡ ‹ƒŽ ˆ‘ —• ‘ –Š‡ ƒ†•‘”’–‹‘ ‘ˆ ‘Ž‡ —Ž‡• ”‡Ž‡˜ƒ– ˆ‘” „‹‘ˆ—‡Ž ’”‘†— –‹‘Ǥ ”ƒ†‹–‹‘ƒŽŽ›ǡ œ‡‘Ž‹–‡• ƒ”‡ •›–Š‡•‹œ‡† ƒ– Š‹‰Š ’  Ž‡ƒ†‹‰ –‘ –Š‡ ˆ‘”ƒ–‹‘ ‘ˆ ’‘Žƒ” •‹Žƒ‘Ž †‡ˆ‡ –• ‹ –Š‡ ˆ”ƒ‡™‘” ƒ† ”‡†— ‹‰ –Š‡ ƒ†•‘”’–‹‘ •‡Ž‡ –‹˜‹–› –‘™ƒ”† ƒŽ ‘Š‘Ž• ‹ ƒŽ ‘Š‘ŽȀ™ƒ–‡” ‹š–—”‡•Ǥ  –Š‡ ‘–”ƒ”›ǡ •›–Š‡•‹• ƒ– ‡ƒ” ‡—–”ƒŽ ’  ƒ† ‹ –Š‡ ’”‡•‡ ‡ ‘ˆ ˆŽ—‘”‹†‡ ‹‘• ”‡•—Ž–• ‹ ƒ Ž‘™ †‡•‹–› ‘ˆ •–”— –—”ƒŽ†‡ˆ‡ –•Ǥ™‘•‹Ž‹ ƒŽ‹–‡Ǧͳˆ‹Ž•™‡”‡•–—†‹‡†‹–Š‹•™‘”ǡ‘‡’”‡’ƒ”‡† —•‹‰ ˆŽ—‘”‹†‡ ƒ† –Š‡ ‘–Š‡” ‘‡ —•‹‰ Š›†”‘š‹†‡ ƒ• ‹‡”ƒŽ‹œ‹‰ ƒ‰‡–Ǥ ‹‰Ž‡Ǧ ‘’‘‡–ƒ†•‘”’–‹‘‹•‘–Š‡”•‘ˆ„—–ƒ‘Žƒ†™ƒ–‡”˜ƒ’‘”‹„‘–Š•‹Ž‹ ƒŽ‹–‡Ǧͳ ˆ‹Ž• ™‡”‡ †‡–‡”‹‡† ƒ– †‹ˆˆ‡”‡– –‡’‡”ƒ–—”‡• —•‹‰ Ǧ 

(17)  •’‡ –”‘• ‘’›Ǥ Š‡ ƒ‰—‹” ƒ† ‹’• ƒ†•‘”’–‹‘ ‘†‡Ž• ™‡”‡ •— ‡••ˆ—ŽŽ› ˆ‹––‡† –‘ ‡š’‡”‹‡–ƒŽ†ƒ–ƒǡƒ†–Š‡ˆ‹––‡†’ƒ”ƒ‡–‡”•‘„–ƒ‹‡†‹–Š‹•™‘”™‡”‡‹˜‡”› ‰‘‘† ƒ‰”‡‡‡– ™‹–Š ˜ƒŽ—‡• ”‡’‘”–‡† ‹ –Š‡ Ž‹–‡”ƒ–—”‡Ǥ †•‘”„‡† ƒ‘—–• ‘ˆ „—–ƒ‘Žƒ†™ƒ–‡”ˆ”‘„‹ƒ”›˜ƒ’‘”‹š–—”‡•™‡”‡‡š–”ƒ –‡†ˆ”‘–Š‡‹ˆ”ƒ”‡† •’‡ –”ƒ ƒ• ™‡ŽŽ ƒ• –Š‡ ƒ†•‘”’–‹‘ •‡Ž‡ –‹˜‹–‹‡•Ǥ Š‡ •‹Ž‹ ƒŽ‹–‡Ǧͳ ˆ‹Ž ’”‡’ƒ”‡† ‹ ˆŽ—‘”‹†‡‡†‹—™ƒ•ˆ‘—†–‘„‡•‹‰‹ˆ‹ ƒ–Ž›‘”‡„—–ƒ‘Ž•‡Ž‡ –‹˜‡†—‡–‘–Š‡ Ž‘™‡”†‡•‹–›‘ˆ†‡ˆ‡ –•‹–Šƒ–•ƒ’Ž‡Ǥ ‹‘‰ƒ• ȋ‡–Šƒ‡Ȍ ‹• ƒ‘–Š‡” ’”‘‹•‹‰ „‹‘ˆ—‡Ž –Šƒ– ‹• ‘‘Ž› ’”‘†— ‡† „› ƒƒ‡”‘„‹ †‡‰”ƒ†ƒ–‹‘‘ˆ„‹‘ƒ••Ǥ ‘™‡˜‡”ǡ„‡ˆ‘”‡‹–ƒ›„‡—•‡†ǡ ‘–ƒ‹ƒ–• Šƒ˜‡ –‘ „‡ ”‡‘˜‡† ˆ”‘ –Š‡ ‰ƒ•Ǣ –™‘ ‘ˆ –Š‡ ‘•– ƒ„—†ƒ– ‘–ƒ‹ƒ–• ‹ .

(18) „‹‘‰ƒ• ƒ”‡ ƒ”„‘ †‹‘š‹†‡ ƒ† ™ƒ–‡” ˜ƒ’‘”Ǥ —Ž–‹ ‘’‘‡– ƒ†•‘”’–‹‘ ‘ˆ ‡–Šƒ‡ǡ ƒ”„‘†‹‘š‹†‡ƒ†™ƒ–‡”˜ƒ’‘”‹œ‡‘Ž‹–‡ƒǦǦͷŠƒ•–Š‡”‡ˆ‘”‡„‡‡ •–—†‹‡†ƒ–˜ƒ”‹‘—• ‘’‘•‹–‹‘•ƒ†–‡’‡”ƒ–—”‡•—•‹‰Ȃ 

(19) •’‡ –”‘• ‘’›Ǥ ƒ–‡” ƒ† ƒ”„‘ †‹‘š‹†‡ ™‡”‡ ’”‡ˆ‡”‡–‹ƒŽŽ› ƒ†•‘”„‡† ‘˜‡” ‡–Šƒ‡ ™‹–Š –Š‡ Š‹‰Š‡•– •‡Ž‡ –‹˜‹–› –‘™ƒ”†• ™ƒ–‡”Ǥ Š‡ Š‹‰Š •‡Ž‡ –‹˜‹–› –‘™ƒ”†• ™ƒ–‡” ™ƒ• ƒ• ”‹„‡† –‘ ƒ†•‘”’–‹‘ ‘ˆ ™ƒ–‡” ‘ ’‘Žƒ” •‹–‡• ƒ••‘ ‹ƒ–‡† ™‹–Š ƒŽ—‹— ƒ† •–”— –—”ƒŽ †‡ˆ‡ –• ‹ –Š‡ ˆ‘” ‘ˆ •‹Žƒ‘Ž ‰”‘—’• ƒ† •—„•‡“—‡– ˆ‘”ƒ–‹‘ ‘ˆ ƒ†•‘”„‡† ™ƒ–‡” Ž—•–‡”• ƒ– –Š‡•‡ ’‘Žƒ” •‹–‡•Ǥ Š‡ ƒ†•‘”„‡† ‘ ‡–”ƒ–‹‘• ‘„–ƒ‹‡† ™‡”‡ ‘’ƒ”‡† –‘ ’”‡†‹ –‹‘• „› –Š‡

(20) †‡ƒŽ †•‘”„‡† ‘Ž—–‹‘ Š‡‘”› ȋ

(21) ȌǤ Ž–Š‘—‰Š –Š‡ ƒ†•‘”„‡† ‘ ‡–”ƒ–‹‘• ’”‡†‹ –‡† —•‹‰ –Š‡

(22)  •Š‘™‡† –Š‡ •ƒ‡ –”‡† ƒ• –Š‡ ‡š’‡”‹‡–ƒŽ †ƒ–ƒǡ –Š‡

(23)  ‘—Ž† ‘– ˆ—ŽŽ› ƒ’–—”‡ –Š‡ ƒ†•‘”’–‹‘„‡Šƒ˜‹‘”‘ˆ–Š‡‰ƒ•‹š–—”‡•‹Š‹‰Š•‹Ž‹ ƒƒǦǦͷǤ             . 

(24) . .

(25) Acknowledgments  ‘”‡‘•–ǡ

(26) ™‘—Ž†Ž‹‡–‘‡š’”‡••›•‹ ‡”‡‰”ƒ–‹–—†‡–‘›•—’‡”˜‹•‘””‘ˆǤ ƒ––‹ƒ• ”ƒŠǤ Šƒ ›‘— ˆ‘” ›‘—” ‹† ‰—‹†ƒ ‡ǡ ‡ ‘—”ƒ‰‡‡–ǡ ’ƒ–‹‡ ‡ ƒ† –”—•– ‹ › ™‘”Ǥ

(27)  ƒ ˜‡”› ‰”ƒ–‡ˆ—Ž –‘ ”‘ˆǤ ‘ƒ• ‡†Ž—† ˆ‘” ‰‹˜‹‰ ‡ –Š‡ ‘’’‘”–—‹–› ‘ˆ ™‘”‹‰ ƒ– Š‡‹ ƒŽ ‡ Š‘Ž‘‰› ”‡•‡ƒ” Š ‰”‘—’ ƒ† ƒŽŽ ›‘—” ƒ†˜‹ ‡Ǥ —”–Š‡”ǡ

(28)  ™‘—Ž† Ž‹‡ –‘ –Šƒ › ‘ •—’‡”˜‹•‘”•Ǣ ••‘ Ǥ ”‘ˆǤ ŽŽƒ ‘Ž‰”‡ ƒ† ”Ǥ Ž‹•ƒ˜‡–ƒ ‘–ƒ’‘˜ƒ ˆ‘” –Š‡‹” •—’’‘”–ǡ Š‡Ž’ˆ—Ž †‹• —••‹‘• ”‡‰ƒ”†‹‰•’‡ –”‘• ‘’›ƒ†–ƒ‹‰–‹‡–‘–”›–‘ƒ•™‡”›“—‡•–‹‘•ǡ”Ǥ‹‰ Š‘—‹•ƒ ‘™Ž‡†‰‡†ˆ‘”’”‡’ƒ”‹‰–Š‡œ‡‘Ž‹–‡ˆ‹Ž•Ǥ Šƒ•–‘”Ǥ‘Ž–žƒ •‹ƒ†”‘ˆǤŽ‡‰–œ—–‹ˆ‘”‘—” ‘ŽŽƒ„‘”ƒ–‹‘ƒ† ••‘ Ǥ”‘ˆǤ ‘Šƒ‡‘—œ‘ˆ‘”Š‡Ž’‹‰‡™‹–Š‹ƒ‰‡•Ǥ

(29) Ž‹‡–‘‡š’”‡••› ƒ’’”‡ ‹ƒ–‹‘–‘–Š‡Š‡ƒ†‘ˆ‘—”†‹˜‹•‹‘ǡ”‘ˆǤŽ”‹ƒ‘˜ƒǡˆ‘”Š‡”‹†•—’’‘”–Ǥ

(30)  ƒŽ•‘‘™‡ƒ–Šƒ›‘—–‘ ڔƒƒŽŽ‹ˆ‘”Š‡Ž’‹‰‡™‹–Š’”ƒ –‹ ƒŽ’”‘„Ž‡•‹ –Š‡ Žƒ„ǡ ƒ† –‘ ‡Ž‹ ‰•–”ڏ ˆ‘” Š‡Ž’‹‰ ‘—– ™‹–Š ƒ†‹‹•–”ƒ–‹˜‡ ™‘”Ǥ

(31)  ƒ ”‡ƒŽŽ› ‰”ƒ–‡ˆ—Ž –‘ ƒœŠƒŽ ƒŽ‡œƒ†‡Š ˆ‘” –Š‡ ”‡ƒ–‹˜‡ †‡•‹‰ ‘ˆ –Š‡ ‰”ƒ’Š‹ • ƒ† ‘˜‡”‹ƒ‰‡Ǥ 

(32)  ™‘—Ž† Ž‹‡ –‘ ƒ ‘™Ž‡†‰‡ ™‡†‹•Š ‡•‡ƒ” Š ‘— ‹Ž ȋȌ ˆ‘” ˆ‹ƒ ‹ƒŽŽ› •—’’‘”–‹‰–Š‹•™‘”Ǥ ’‡ ‹ƒŽ –Šƒ• –‘ ”Ǥ ƒ‹Ž ‘”‡Ž•‹› ˆ‘” „‡‹‰ ƒ ˆƒ–ƒ•–‹  ˆ”‹‡†ǡ ˜‡”› Š‡Ž’ˆ—Ž ‘ŽŽ‡ƒ‰—‡ ƒ† •— Š ƒ ”‡•’‘•‹„Ž‡ ‡–‘” ™Š‘ ‹–”‘†— ‡† ‡ –‘ ‡˜‡”› ’‘••‹„Ž‡ ’‡”•‘

(33)  ‡‡†‡† –‘ ‘™Ǩ Šƒ• –‘ ”Ǥ ‹†•ƒ› ŠŽ‹ ˆ‘” ‘—” ˆ”—‹–ˆ—Ž ‘ŽŽƒ„‘”ƒ–‹‘ ƒ† –Š‡ ‰”‡ƒ– –‹‡ ™‡ Šƒ† ™‘”‹‰ –‘‰‡–Š‡”ǡ ƒ† –‘ ”Ǥ ƒ‹‡Žƒ—•ƒ‘˜ƒ ˆ‘” –Š‡ —•‡ˆ—Ž †‹• —••‹‘• ƒ† ˜ƒŽ—ƒ„Ž‡ ‹’—–•Ǥ

(34)  ‡š’”‡•• › ‰”ƒ–‹–—†‡–‘”‘ˆǤ‘„‹ƒ•‹ Šƒ”†•ˆ‘”›‘—”Š‡Ž’ƒ†•—’’‘”–†—”‹‰›ƒ•–‡”̵• †‡‰”‡‡•–—†‹‡•ƒ†›‘—”‰”‡ƒ–ƒ†˜‹ ‡ˆ‘” ‘–‹—ƒ–‹‘‘ˆ› ƒ”‡‡”Ǥ 

(35) ›†ƒ‹Ž›™‘”

(36) Šƒ˜‡„‡‡„Ž‡••‡†™‹–Šˆ”‹‡†Ž›ƒ† Š‡‡”ˆ—Ž ‘ŽŽ‡ƒ‰—‡•ƒ† ˆ”‹‡†• ™Š‘ ƒŽ™ƒ›• •—’’‘”–‡† ‡Ǥ Šƒ• –‘ ‡˜‡”›‘‡ ƒ– Š‡‹ ƒŽ ‡ Š‘Ž‘‰› ƒ†‹˜‹•‹‘‘ˆŠ‡‹ ƒŽ‰‹‡‡”‹‰Ǩ‹ ‡

(37) •–ƒ”–‡†—‹˜‡”•‹–›—–‹Ž–‘†ƒ›ǡ

(38) ™ƒ• •‘Ž— ›–Šƒ–

(39) ‡–ƒ›ƒƒœ‹‰’‡‘’Ž‡™Š‘Šƒ˜‡„‡‡ƒŽ™ƒ›••—’’‘”–‹˜‡–‘‡ǡ ƒ†™‡Šƒ†•‘— Šˆ—–‘‰‡–Š‡”ǡ–Šƒ•–‘ƒŽŽǨ Š‘—•ƒ†•‘ˆ–Šƒ•–‘›•‹„Ž‹‰•”‡œ‘—ƒ† ƒ”œƒǨ

(40)  ƒ‘–‹ƒ‰‹‡™Šƒ– –‘†‘™‹–Š‘—–›‘—”•—’’‘”–Ǥ†ˆ‹ƒŽŽ›ǡ–‘›’ƒ”‡–•ǣ !ϡϧϳϧίΎϧ έΩΎϣ ϭ έΩ̡ ˬϡ΍ ̶̳Ωϧί έΎϣόϣ ϭ ϡϠόϣ ϥΎΑέϬϣ ί΍ ϥ΍έ̰ϳΑ αΎ̡γ. 

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(47) List of Papers ƒ’‡”Ȥǣ Adsorption of Water and Butanol in SilicaliteǦ1 Film Studied with in Situ AttenuatedTotalReflectance–FourierTransformInfraredSpectroscopy ‹”ˆƒ””‘Š ƒ”œƒ‡Šǡ ‹‰ Š‘—ǡ Ž‹•ƒ˜‡–ƒ ‘–ƒ’‘˜ƒǡ ‘Ž–ž ƒ •‹ǡ ‹†•ƒ› ŠŽ‹ǡŽŽƒ ‘Ž‰”‡ǡ ‘ƒ• ‡†Ž—†ǡƒ––‹ƒ• ”ƒŠǤLangmuirȋʹͲͳͷȌǡ͵ͳǡͶͺͺ͹Ǧ ͶͺͻͶ ƒ’‡”ȤȤǣ Adsorption of Butanol and Water Vapors in SilicaliteǦ1 Films with Low DefectDensity ‹”ˆƒ””‘Š ƒ”œƒ‡Šǡ ‹‰ Š‘—ǡ Ž‡‰ Ǥ –œ—–‹ǡ ‘Ž–ž ƒ •‹ǡ ‘ƒ• ‡†Ž—†ǡŽŽƒ ‘Ž‰”‡ƒ†ƒ––‹ƒ• ”ƒŠǤLangmuirȋ2016)ǡ͵ʹǡͳͳ͹ͺͻȂͳͳ͹ͻͺ ƒ’‡”ȤȤȤǣ A Comparative Study of the Effect of Defects on Selective Adsorption of ButanolfromBinaryVaporMixturesinSilicaliteǦ1Films ‹”ˆƒ””‘Š ƒ”œƒ‡Šǡ ‹†•ƒ› ŠŽ‹ǡ ŽŽƒ ‘Ž‰”‡ ƒ† ƒ––‹ƒ• ”ƒŠǡ ƒ—• ”‹’– ƒ’‡”Ȥǣ Colloidal DefectǦFree SilicaliteǦ1 Single Crystals: Preparation, Structure Characterization,Adsorption,andSeparationPropertiesforAlcohol/Water Mixtures ƒ Š‘—ǡ ‘Šƒ‡ ‘—œ‘ǡ ‹”ˆƒ””‘Š ƒ”œƒ‡Šǡ Ž‡‰ Ǥ –œ—–‹ǡ ƒ––‹ƒ•. ”ƒŠǡƒ† ‘ƒ• ‡†Ž—†ǡLangmuirȋʹͲͳͷȌǡ͵ͳǡͺͶͺͺΫͺͶͻͶ ƒ’‡”ǣ EffectofWaterontheAdsorptionofMethaneandCarbonDioxideinZeolite NaǦZSMǦ5StudiedUsinginSituATRǦFTIRSpectroscopy ‹†•ƒ› ŠŽ‹ǡ Žƒ†‹‹” ‡”‡œ‘˜•›ǡ ˜‡ Y„‡”‰ǡ ‹”ˆƒ””‘Š ƒ”œƒ‡Šǡ ŽŽƒ ‘Ž‰”‡ ƒ† ƒ––‹ƒ• ”ƒŠǡ The Journal of Physical Chemistry C ȋʹͲͳ͸Ȍǡ ͳʹͲǡ ʹͻͳͶͶǦʹͻͳͷʹ ƒ’‡”

(48) ǣ Ternary Adsorption of Methane, Water and Carbon Dioxide in Zeolite NaǦ ZSMǦ5StudiedUsinginSituATRǦFTIRSpectroscopy ‹†•ƒ›ŠŽ‹ǡ‹”ˆƒ””‘Š ƒ”œƒ‡ŠǡŽŽƒ ‘Ž‰”‡ǡ ‘ƒ• ‡†Ž—†ƒ†ƒ––‹ƒ•. ”ƒŠǡTheJournalofPhysicalChemistryC,—„‹––‡†

(49) .

(50) TothereadersǣŠ‹•†‘ –‘”ƒŽ–Š‡•‹•‹•ƒ•—ƒ”›‘ˆ”‡•‡ƒ” Š’‡”ˆ‘”‡†‹–Š‡ ’ƒ’‡”• Ž‹•–‡† ƒ„‘˜‡ǡ ƒ† –Š‡ ”‡ƒ†‡”• ƒ”‡ ‡ ‘—”ƒ‰‡† –‘ ”‡ƒ† –Š‡ –Š‡•‹• ‹ ‘Œ— –‹‘™‹–Š–Š‡’ƒ’‡”•Ǥ Š‡ƒ—–Š‘”ǯ• ‘–”‹„—–‹‘–‘–Š‡’ƒ’‡”•ǣ

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(57) Ǥ Ǥ 

(58) Ǥ. ‡”ˆ‘”‡† –Š‡ Ǧ 

(59)  ‡š’‡”‹‡–ƒŽ ™‘”ǡ ‹–‡”’”‡–‡† –Š‡ ”‡•—Ž–• ™‹–Š ‘Ǧƒ—–Š‘”•ƒ†™”‘–‡–Š‡ˆ‹”•–†”ƒˆ–ƒ†™”‘–‡–Š‡ƒ—• ”‹’–™‹–Š –Š‡ ‘Ǧƒ—–Š‘”•Ǥ ‡”ˆ‘”‡† –Š‡ Ǧ 

(60)  ‡š’‡”‹‡–ƒŽ ™‘”ǡ ‹–‡”’”‡–‡† –Š‡ ”‡•—Ž–• ™‹–Š ‘Ǧƒ—–Š‘”• ƒ† ™”‘–‡ –Š‡ ˆ‹”•– †”ƒˆ– ƒ’ƒ”– ˆ”‘ –Š‡  •‡ –‹‘ ƒ†™”‘–‡–Š‡ƒ—• ”‹’–™‹–Š–Š‡ ‘Ǧƒ—–Š‘”•Ǥ ‡”ˆ‘”‡† –Š‡ ‡š’‡”‹‡–ƒŽ ™‘”ǡ ‹–‡”’”‡–‡† –Š‡ ”‡•—Ž–• ™‹–Š ‘Ǧ ƒ—–Š‘”•ƒ†™”‘–‡–Š‡ˆ‹”•–†”ƒˆ–ƒ†™”‘–‡–Š‡ƒ—• ”‹’–™‹–Š–Š‡ ‘Ǧ ƒ—–Š‘”•Ǥ ‡”ˆ‘”‡† –Š‡ Ǧ 

(61)  ‡š’‡”‹‡–ƒŽ ™‘”ǡ ƒ† ”‡Žƒ–‡† †ƒ–ƒ ‡˜ƒŽ—ƒ–‹‘ƒ††‹• —••‹‘Ǥ ‡˜‹‡™ƒ††‹• —••‹‘”‡‰ƒ”†‹‰–Š‡‡š’‡”‹‡–ƒŽ™‘”Ǥ ‡˜‹‡™ƒ†’ƒ”–‹ ‹’ƒ–‹‘‹–Š‡‡š’‡”‹‡–ƒŽ™‘”Ǥ.  ‡‡”Ǧ”‡˜‹‡™‡†‘ˆ‡”‡ ‡‘–”‹„—–‹‘•ȋ‘–‹ Ž—†‡†‹–Š‡–Š‡•‹•Ȍǣ i. ƒ”œƒ‡ŠǡǤƒ† ”ƒŠǡǤǢ‹ƒ”›ƒ†•‘”’–‹‘‘ˆ„—–ƒ‘Žƒ†™ƒ–‡”˜ƒ’‘”‹ •‹Ž‹ ƒŽ‹–‡Ǧͳ ˆ‹Ž •›–Š‡•‹œ‡† ‹ Ǧ ‡†‹ƒ —•‹‰ ‹Ǧ•‹–— Ǧ 

(62)  •’‡ –”‘• ‘’›ǡ Oral presentation at 18th International Zeolite Conferenceǡ —‡ ʹͲͳ͸ǡ ‹‘ †‡ ƒ‡‹”‘ǡ”ƒœ‹Ž ii. ŠŽ‹ǡ ǤǢ ƒ”œƒ‡Šǡ ǤǢ ‘Ž‰”‡ǡ ǤǢ ‡†Ž—†ǡ ǤǢ ”ƒŠǡ ǤǢ ‡”ƒ”› ƒ†•‘”’–‹‘‘ˆ‡–Šƒ‡ǡ™ƒ–‡”ƒ† ƒ”„‘†‹‘š‹†‡‹œ‡‘Ž‹–‡ƒǦǦͷ•–—†‹‡† —•‹‰ ‹Ǧ•‹–— Ǧ 

(63)  •’‡ –”‘• ‘’›ǡ Oral presentation at 12th International Conference on the Fundamentals of Adsorptionǡ —‡ ʹͲͳ͸ǡ ”‹‡†”‹ Š•Šƒˆ‡ǡ. ‡”ƒ› iii. ƒ”œƒ‡ŠǡǤǢŠ‘—ǡǤǢ ‡†Ž—†ǡǤƒ† ”ƒŠǡǤǢ†•‘”’–‹‘‘ˆƒ–‡”ƒ†ͳǦ —–ƒ‘Ž ‹ 

(64)  ‡‘Ž‹–‡ ‹Ž• •–—†‹‡† ™‹–Š ‹Ǧ•‹–— Ǧ 

(65)  ’‡ –”‘• ‘’›ǡ ‘•–‡” ’”‡•‡–ƒ–‹‘ ƒ–ȉ͸–Š

(66) –‡”ƒ–‹‘ƒŽ ‡‘Ž‹–‡ ‡„”ƒ‡ ‡‡–‹‰ ǡ —‡ ʹͲͳ͵ǡ ‡Œ—

(67) •Žƒ†ǡ‘—–Š‘”‡ƒ . . .

(68) Table of Contents Abstract..................................................................................................................................V Acknowledgments...........................................................................................................VII ListofPapers.......................................................................................................................IX PartA........................................................................................................................................1 Chapter1. Introduction................................................................................................3. ͳǤͳǤ ‹‘ˆ—‡Ž•ǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤ͵ 1.1.1.. Biobutanol....................................................................................................................... 4. 1.1.2.. Biogas.............................................................................................................................. 4. ͳǤʹǤ †•‘”’–‹‘ǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤͷ 1.2.1.. Adsorbents...................................................................................................................... 6. 1.2.2.. Zeolites............................................................................................................................ 6. 1.2.3.. Adsorptionisotherms......................................................................................................9. 1.2.4.. Mixedgasadsorption....................................................................................................11. ͳǤ͵Ǥ  ‘’‡‘ˆ–Š‡’”‡•‡–™‘”ǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤͳ͵ Chapter2. Theory........................................................................................................15. ʹǤͳǤ Ǧ 

(69) ‡ Š‹“—‡ǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤͳͷ 2.1.1.. Chapter3. Determinationofadsorbateloadinginthefilm............................................................15. Experimental...........................................................................................19. ͵ǤͳǤ

(70) •–”—‡–ƒ–‹‘ǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤͳͻ ͵ǤʹǤ ‹Ž›–Š‡•‹•ǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤͳͻ ͵Ǥ͵Ǥ †•‘”’–‹‘š’‡”‹‡–•ǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤͳͻ Chapter4. SummaryofResults...............................................................................23. ͶǤͳǤ ‹ŽŠƒ”ƒ –‡”‹œƒ–‹‘ǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤʹ͵ 4.1.1.SilicaliteͲ1films(PapersȻͲIII)...............................................................................................23 4.1.2.NaͲZSMͲ5film(PapersVͲVȻ)................................................................................................25. ͶǤʹǤ†•‘”’–‹‘‘ˆ™ƒ–‡”ƒ†„—–ƒ‘Ž‹–Š‡•‹Ž‹ ƒŽ‹–‡Ǧͳȋƒ’‡”•ȤǦ

(71) ȌǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤʹ͸ 4.2.1.Infraredspectra...................................................................................................................26 4.2.2.Adsorptionisotherms..........................................................................................................28 4.2.3.Adsorptionofbutanolandwaterfrombinarymixtures.....................................................34. 

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(73) ͶǤ͵Ǥ †•‘”’–‹‘ ‘ˆ ™ƒ–‡”ǡ ‡–Šƒ‡ ƒ† ƒ”„‘ †‹‘š‹†‡ ‹ ƒǦǦͷ ˆ‹Ž ȋƒ’‡”•Ǧ

(74) ȌǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤǤͶͲ 4.3.1.Infraredspectra...................................................................................................................40 4.3.2.Adsorbedconcentrations....................................................................................................41 4.3.3.Adsorptionselectivities.......................................................................................................43. Conclusions.........................................................................................................................45 FutureWork.......................................................................................................................47 References...........................................................................................................................49 PartB.....................................................................................................................................57 ƒ’‡”•

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(79) Part A. ͳ.

(80) . ʹ. .

(81) Chapter 1. Introduction. 1.1. Biofuels  Ž‘„ƒŽ ™ƒ”‹‰ ‹•ƒ –‘’‹  –Šƒ– ‹ ”‡ƒ•‹‰Ž› ƒ––”ƒ –• –Š‡ ƒ––‡–‹‘ ‘ˆ –Š‡ ™‘”Ž†Ǥ  ——Žƒ–‹‘‘ˆ‰”‡‡Š‘—•‡‰ƒ•‡•‹–Š‡ƒ–‘•’Š‡”‡Šƒ•„‡‡‹†‡–‹ˆ‹‡†ƒ•‘‡ ‘ˆ –Š‡ ƒ‹ ”‡ƒ•‘• ˆ‘” ‰Ž‘„ƒŽ ™ƒ”‹‰Ǥͳ ‘”‡‘˜‡”ǡ „‡ ƒ—•‡ ‘ˆ –Š‡ ‘–‹—‘—• ‹ ”‡ƒ•‡‘ˆ–Š‡™‘”Ž†’‘’—Žƒ–‹‘ƒ†Š‹‰Š†‡ƒ†‘ˆ‡‡”‰›ǡ–Š‡ ‘•—’–‹‘‘ˆ ˆ‘••‹Ž ˆ—‡Ž• Šƒ• ‹ ”‡ƒ•‡† †”ƒƒ–‹ ƒŽŽ›Ǥʹ Š‡•‡ ‘ ‡”• Šƒ˜‡ ‹•’‹”‡† • ‹‡–‹•–• –‘•‡ƒ” Šˆ‘”‘”‡‡˜‹”‘‡–ƒŽŽ›ˆ”‹‡†Ž›ƒŽ–‡”ƒ–‹˜‡ˆ—‡Ž•Ǥ ‹‘ˆ—‡Ž• ƒ”‡ ‹–‡”‡•–‹‰ ƒŽ–‡”ƒ–‹˜‡• –‘ –Š‡ ˆ‘••‹Ž ˆ—‡Ž• —•‡† –‘†ƒ› ˆ‘” •‡˜‡”ƒŽ ”‡ƒ•‘•ǣ –Š‡ ƒ‹ ”‡ƒ•‘ ‹• –Šƒ– –Š‡› ’”‡•‡– ƒ •—•–ƒ‹ƒ„Ž‡ ƒŽ–‡”ƒ–‹˜‡ –‘ ˆ‘••‹Ž ”‡•‘—” ‡•Ǥ —”–Š‡”ǡ „‹‘ˆ—‡Ž• ƒ”‡ ‡ƒ•‹Ž› ƒ˜ƒ‹Žƒ„Ž‡ ˆ”‘ ‘‘ „‹‘ƒ•• •‘—” ‡• ƒ†•Š‘™ƒ›‘–Š‡”„‡‡ˆ‹–•ˆ‘”–Š‡‡˜‹”‘‡–ǡ‡ ‘‘›ǡƒ† ‘•—‡”•Ǥ͵ ‹‘ˆ—‡Ž• ˆ‘” –Š‡ –”ƒ•’‘”–ƒ–‹‘ •‡ –‘” ‘’”‹•‡• „‘–Š Ž‹“—‹† ƒ† ‰ƒ•‡‘—• ˆ—‡Ž• ’”‘†— ‡† ˆ”‘ „‹‘ƒ••Ǥ ‘‰ –Š‡ Ž‹“—‹† „‹‘ˆ—‡Ž•ǡ –™‘ ˆ—‡Ž• †‘‹ƒ–‡ –Š‡ ƒ”‡––‘†ƒ›ǡƒ‡Ž›‡–Šƒ‘Ž’”‘†— ‡†˜‹ƒˆ‡”‡–ƒ–‹‘‘ˆ•—‰ƒ”•ƒ†„‹‘†‹‡•‡Ž ‘ˆˆƒ––›ƒ ‹†‡–Š›Ž‡•–‡”ȋ ȌǦ–›’‡’”‘†— ‡†ˆ”‘˜‡‰‡–ƒ„Ž‡‘‹Ž•Ǥ‹‘†‹‡•‡Ž‘ˆ –Š‡ Ǧ–›’‡‹•’”‘†— ‡†˜‹ƒ ƒ–ƒŽ›–‹ –”ƒ•‡•–‡”‹ˆ‹ ƒ–‹‘‘ˆ˜‡‰‡–ƒ„Ž‡‘‹Ž•™‹–Š ‡–Šƒ‘ŽǤ –Šƒ‘Ž ƒ† „‹‘†‹‡•‡Ž ƒ”‡ ‘‘Ž› „Ž‡†‡† ‹ ‰ƒ•‘Ž‹‡ ƒ† †‹‡•‡Žǡ ”‡•’‡ –‹˜‡Ž›ǡ –‘ ”‡†— ‡ –Š‡ ƒ”„‘ ˆ‘‘–’”‹–Ǥ ˆ –Š‡ •—•–ƒ‹ƒ„Ž‡ ‰ƒ•‡‘—• –”ƒ•’‘”–ƒ–‹‘ ˆ—‡Ž•ǡ   ȋ ‘’”‡••‡† „‹‘‰ƒ•Ȍ ‹• –Š‡ †‘‹ƒ–‹‰ ˆ—‡Žǡ Š‘™‡˜‡”  ȋ†‹‡–Š›Ž ‡–Š‡”Ȍ ’”‘†— ‡† ˆ”‘ Dz‰”‡‡dz ‡–Šƒ‘Ž Šƒ• ƒŽ•‘ Šƒ˜‡ •Š‘™ ‰‘‘†ˆ—‡Ž’”‘’‡”–‹‡•ǤͶ Ž–Š‘—‰Šǡ –Š‡”‡ Šƒ• „‡‡ •‘‡ •— ‡•• ‹ ”‡’Žƒ ‹‰ ȋƒ– Ž‡ƒ•– ’ƒ”–‹ƒŽŽ›Ȍ ˆ—‡Ž• ’”‘†— ‡† ˆ”‘ ˆ‘••‹Ž ”‡•‘—” ‡• ™‹–Š •—•–ƒ‹ƒ„Ž‡ ƒŽ–‡”ƒ–‹˜‡•ǡ ƒ• Š‹‰ŠŽ‹‰Š–‡† ƒ„‘˜‡ǡ –Š‡”‡ ‹• •–‹ŽŽ ƒ ‡‡† ˆ‘” ‹’”‘˜‹‰ –Š‡ ‡ˆˆ‹ ‹‡ › ‘ˆ ‡š‹•–‹‰ ’”‘ ‡••‡• ƒ• ™‡ŽŽ ƒ• ˆ‘” †‡˜‡Ž‘’‹‰ ‡™ ’”‘ ‡••‡• ˆ‘” ’”‘†— ‹‰ „‹‘ˆ—‡Ž•Ǥ ‘” ‡šƒ’Ž‡ǡ ˆ‘” „‹‘‰ƒ•ǡ ‡ˆˆ‹ ‹‡– ’”‘ ‡••‡• ˆ‘” •ƒŽŽ • ƒŽ‡ ’”‘†— –‹‘ ‘ˆ „‹‘‰ƒ• •Š‘—Ž† „‡ †‡˜‡Ž‘’‡†ǡƒ†‘–Š‡Ž‹“—‹†•‹†‡ǡ–Š‡”‡ƒ”‡‘”‡’”‘‹•‹‰Ž‹“—‹†„‹‘ˆ—‡Ž•–Šƒ ‡–Šƒ‘Ž ‡Ǥ‰Ǥ „‹‘„—–ƒ‘Žǡ „—– –‘†ƒ› –Š‹• ’”‘ ‡•• •—ˆˆ‡”• ˆ”‘ –‘‘ Žƒ”‰‡ •‡’ƒ”ƒ–‹‘ ‘•–•Ǥ Š‡”‡ˆ‘”‡ǡ ‘˜‡Ž ‡ˆˆ‹ ‹‡– ’”‘ ‡••‡•ǡ ˆ‘” ‹•–ƒ ‡ǡ „ƒ•‡† ‘ ƒ†•‘”„‡– ‘” ‡„”ƒ‡–‡ Š‘Ž‘‰‹‡••Š‘—Ž†„‡†‡˜‡Ž‘’‡†Ǥ  ͵.

(82) 1.1.1. Biobutanol ˜‡”› ‘’‡–‹–‹˜‡„‹‘ˆ—‡Žˆ‘”—•‡‹‹–‡”ƒŽ ‘„—•–‹‘‡‰‹‡•‹•ͳǦ„—–ƒ‘Ž ȋŠ‡”‡ƒˆ–‡” ”‡ˆ‡””‡† –‘ ƒ• „—–ƒ‘ŽȌǤ —–ƒ‘Žǡ Ž‹‡ ‡–Šƒ‘Žǡ ƒ „‡ —•‡† ƒ• ƒ ƒ††‹–‹˜‡ –‘ ‰ƒ•‘Ž‹‡ „—– ƒ› ƒŽ•‘ „‡ „Ž‡†‡† ‹ •ƒŽŽ‡” ƒ‘—–• –‘ †‹‡•‡ŽǤͷ —–ƒ‘Ž ‹• ‹ ƒ› ƒ•’‡ –• ƒ „‡––‡” ƒ†‹†ƒ–‡ –Šƒ ‡–Šƒ‘Ž ƒ• ”‡’Žƒ ‡‡– –‘ ‰ƒ•‘Ž‹‡ „‡ ƒ—•‡ ‘ˆ ‹–• ˆƒ˜‘”ƒ„Ž‡ ˆ—‡Ž ’”‘’‡”–‹‡•ǡ •— Š ƒ• Š‹‰Š‡” •’‡ ‹ˆ‹  Š‡ƒ– ˜ƒŽ—‡ ƒ† ƒŽ•‘ „—–ƒ‘Ž ‹• •‹‰‹ˆ‹ ƒ–Ž› ‘”‡ ƒŠ›†”‘—• ‘’ƒ”‡† –‘ ‡–Šƒ‘Ž ™Š‹ Š•—„•–ƒ–‹ƒŽŽ›”‡†— ‡•–Š‡”‹•‘ˆ™ƒ–‡” ‘–ƒ‹ƒ–‹‘‘ˆ–Š‡ˆ—‡ŽǤ —–ƒ‘Ž ƒ „‡ ’”‘†— ‡† „› ˆ‡”‡–ƒ–‹‘ —•‹‰ •—‰ƒ”• ˆ”‘ †‹ˆˆ‡”‡– ”‡‡™ƒ„Ž‡ „‹‘ƒ•• ”‡•‘—” ‡• ‹ Ž—†‹‰ ‘”ǡ ™‘‘†ǡ Ž‹‰‘ ‡ŽŽ—Ž‘•‹  Š›†”‘Ž›•ƒ–‡• ‡– Ǥ ˜‹ƒ –Š‡  ȋƒ ‡–‘‡ǡ „—–ƒ‘Žǡ ƒ† ‡–Šƒ‘ŽȌ ˆ‡”‡–ƒ–‹‘ ’”‘ ‡•• —•‹‰ ‡Ǥ‰Ǥ –Š‡Clostridiumacetobutylicum•–”ƒ‹Ǥ͸Ǧ͹ ‘™‡˜‡”ǡ‘‡‘ˆ–Š‡†‹•ƒ†˜ƒ–ƒ‰‡•™‹–Š –Š‹• ’”‘ ‡•• ‹• –Š‡ –‘š‹ ‹–› ‘ˆ „—–ƒ‘Ž –‘ –Š‡ ‹ ”‘‘”‰ƒ‹• ™Š‹ Š Ž‹‹–• –Š‡ ‘ ‡–”ƒ–‹‘‘ˆ„—–ƒ‘Ž‹–Š‡ˆ‡”‡–ƒ–‹‘„”‘–Š–‘ƒ’’”‘š‹ƒ–‡Ž›ʹͲ‰Ȁ™‹–Š ƒ ”‡Žƒ–‹˜‡ ‘’‘•‹–‹‘ ‘ˆ  ‘ˆ ƒǤ ͵ǣ͸ǣͳǤͺ Š‹• Ž‘™ ‘ ‡–”ƒ–‹‘ ƒ‡• ‹– ŠƒŽŽ‡‰‹‰ –‘ ”‡ ‘˜‡” –Š‡ „—–ƒ‘Ž ‡ˆˆ‹ ‹‡–Ž›ǡ •‹ ‡ –”ƒ†‹–‹‘ƒŽ †‹•–‹ŽŽƒ–‹‘ ‹• —•—‹–ƒ„Ž‡ ƒ• ‹– ‹• ˆƒ” –‘‘ ‡‡”‰› ‘•—‹‰Ǥͻ

(83)  ”‡ƒ•‡† ›‹‡Ž† ƒ† ’”‘†— –‹˜‹–› ‘„‹‡†™‹–Šƒ‘”‡‡‡”‰›‡ˆˆ‹ ‹‡–„—–ƒ‘Ž”‡ ‘˜‡”›–‡ Š‹“—‡™‹ŽŽ‹’”‘˜‡ –Š‡‡ ‘‘›‘ˆ–Š‡ˆ‡”‡–ƒ–‹‘’”‘ ‡••–‘ƒ”‡ƒŽ‘’–‹‘ˆ‘”’”‘†— –‹‘‘ˆ Ž‹“—‹† „‹‘ˆ—‡Ž•Ǥ

(84)  ‘”†‡” –‘ ”‡ ‘˜‡” „—–ƒ‘Ž ˆ”‘ –Š‡ ˆ‡”‡–ƒ–‹‘ „”‘–Šǡ ƒ —„‡”‘ˆ†‹ˆˆ‡”‡–”‡ ‘˜‡”›–‡ Š‹“—‡•Šƒ˜‡„‡‡•–—†‹‡†•— Šƒ•Ǣƒ†•‘”’–‹‘ǡ͹ǡ ͳͲ ’‡”˜ƒ’‘”ƒ–‹‘ǡͳͳ ‡š–”ƒ –‹‘ ƒ† ‰ƒ• •–”‹’’‹‰Ǥͳʹ ‘” ‡šƒ’Ž‡ǡ —”‡•Š‹ ‡– ƒŽǤ͹ ‹˜‡•–‹‰ƒ–‡† •‹Ž‹ ƒŽ‹–‡Ǧͳǡ „‘‡ Šƒ” ‘ƒŽȀ Šƒ” ‘ƒŽ ƒ† ’‘Ž›˜‹›Ž’›”‹†‹‡ ˆ‘” •‡’ƒ”ƒ–‹‘ ‘ˆ „—–ƒ‘Ž ˆ”‘ ˆ‡”‡–ƒ–‹‘ „”‘–Š „› ƒ†•‘”’–‹‘Ǣ ˆ”‘ –Š‡•‡ ƒŽ–‡”ƒ–‹˜‡• •‹Ž‹ ƒŽ‹–‡Ǧͳ ™ƒ• ˆ‘—† –‘ „‡ –Š‡ ‘•– ’”‘‹•‹‰Ǥ —†•Š‘‘” ‡– ƒŽǤͳ͵ ‡˜ƒŽ—ƒ–‡††‹ˆˆ‡”‡–‘’–‹‘•ˆ‘””‡ ‘˜‡”‹‰„—–ƒ‘Žˆ”‘ˆ‡”‡–ƒ–‹‘„”‘–Š•ƒ† ‘ Ž—†‡† –Šƒ– ƒ†•‘”’–‹‘Ǧ ƒ† ’‡”˜ƒ’‘”ƒ–‹‘Ǧ„ƒ•‡† ”‡ ‘˜‡”› ‘’‡”ƒ–‹‘• —•‹‰ Š›†”‘’Š‘„‹  ƒ†•‘”„‡–• Ž‹‡ Š›†”‘’Š‘„‹  œ‡‘Ž‹–‡• ™‡”‡ –Š‡ ‘•– ’”‘‹•‹‰ ‘’–‹‘•Ǥ. 1.1.2. Biogas ‹‘‰ƒ• ‹• –Š‡ ‰ƒ•‡‘—• ’”‘†— – ‘ˆ ƒƒ‡”‘„‹  †‹‰‡•–‹‘ ‘ˆ ‘”‰ƒ‹  ƒ––‡” ƒ† ƒ ”‡‡™ƒ„Ž‡•‘—” ‡ˆ‘”‡–Šƒ‡’”‘†— –‹‘Ǥ‡‘ˆ–Š‡ƒ‹ƒ†˜ƒ–ƒ‰‡•‘ˆ„‹‘‰ƒ• ‹• –Šƒ– ƒ ˜ƒŽ—ƒ„Ž‡ ˆ—‡Ž ƒ „‡ ’”‘†— ‡† ™Š‹Ž‡ †‡•–”‘›‹‰ †‹•‡ƒ•‡Ǧ ƒ—•‹‰ ’ƒ–Š‘‰‡• ƒ† ƒ– –Š‡ •ƒ‡ –‹‡ †‡ ”‡ƒ•‹‰ –Š‡ ˜‘Ž—‡ ‘ˆ †‹•’‘•‡† ™ƒ•–‡ ’”‘†— –•ǤͳͶ ‘”‡‘˜‡”ǡ –Š‡ ”‡•‹†—‡ ˆ‘”‡† ƒ› ‹ ƒ› ƒ•‡• „‡ —•‡† ƒ• ˆ‡”–‹Ž‹œ‡”Ǥͳͷ Š‡ ‡–Šƒ‡ —’‰”ƒ†‡† ˆ”‘ „‹‘‰ƒ• ƒ „‡ —•‡† ˆ‘” Š‡ƒ– ƒ† ‡Ž‡ –”‹ ‹–› ’”‘†— –‹‘‘”ƒ•ˆ—‡Žˆ‘”˜‡Š‹ Ž‡•–‘”‡†— ‡‡‹••‹‘•ƒ† ‘•—’–‹‘‘ˆˆ‘••‹Ž Ͷ.

(85) ˆ—‡Ž•Ǥͳ͸ ‹‘‰ƒ• ƒ‹Ž› ‘–ƒ‹• ‡–Šƒ‡ǡ –Š‡ †‡•‹”‡† ’”‘†— –ǡ ƒ† ƒ —„‡” ‘ˆ ‘–ƒ‹ƒ–•Ǥ ˆ –Š‡•‡ ‘–ƒ‹ƒ–•ǡ –Š‡ ‘•– ƒ„—†ƒ– ƒ”‡ ƒ”„‘ †‹‘š‹†‡ǡ ™ƒ–‡”ǡ‹–”‘‰‡ǡƒ†•—Žˆ—” ‘’‘—†•ǤŠ‡ ‘’‘•‹–‹‘‘ˆ–Š‡„‹‘‰ƒ•‰‡‡”ƒŽŽ› †‡’‡†• ‘ –Š‡ ˆ‡‡†•–‘  ƒ† –Š‡ ’”‘ ‡••‹‰ ‘†‹–‹‘•Ǥ ‘™‡˜‡”ǡ –›’‹ ƒŽŽ› „‹‘‰ƒ• ‘–ƒ‹•ͷͷΨ–‘͹ͷ؏‡–Šƒ‡ǡ͵ͲΨ–‘ͶͷΨ ƒ”„‘†‹‘š‹†‡ƒ†‫ͳ׽‬Ψ–‘ ͳͷΨ ™ƒ–‡” ƒ† ‹–”‘‰‡Ǥͳ͹ Š‡ ‘–ƒ‹ƒ–• „‘–Š Ž‘™‡” –Š‡ •’‡ ‹ˆ‹  ‡‡”‰› ‘–‡– ‘ˆ –Š‡ ‰ƒ• ƒ† ƒ› ‹†— ‡ ’”‘„Ž‡• ™‹–Š ‘””‘•‹‘ ‘ˆ Šƒ†Ž‹‰ ‡“—‹’‡– ȋ•–‘”ƒ‰‡ –ƒ•ǡ ’‹’‡Ž‹‡•ǡ ‡‰‹‡ ’ƒ”–• ‡– ǤȌ Ž‡ƒ†‹‰ –‘ ‡š’‡•‹˜‡ ƒ‹–‡ƒ ‡ ‘•–•Ǥ—Žˆ—”Ǧ ‘–ƒ‹‹‰•’‡ ‹‡•ƒŽ•‘Ž‡ƒ†–‘–Š‡—†‡•‹”‡†‡‹••‹‘ ‘ˆʹƒ†”‹•‘ˆˆ‘”ƒ–‹‘‘ˆ’ƒ”–‹ Ž‡•™Š‡ ‘„—•–‡†Ǥ‡˜‡”ƒŽ–‡ Š‹“—‡•ˆ‘” —’‰”ƒ†‹‰‘ˆ„‹‘‰ƒ•‡š‹•––‘†ƒ›ǡƒ†–Š‡›ƒ”‡ ‘–‹—ƒŽŽ›„‡‹‰‹’”‘˜‡†Ǥ•—ƒŽŽ› –‡ Š‹“—‡• †‡˜‡Ž‘’‡† ˆ‘” –Š‡ Ž‘•‡Ž› ”‡Žƒ–‡† ’”‘ ‡••ǡ —’‰”ƒ†‹‰ ‘ˆ ƒ–—”ƒŽ ‰ƒ•ǡ ƒ”‡ƒŽ•‘ƒ†‘’–‡†ƒ†—•‡†ˆ‘”—’‰”ƒ†‹‰‘ˆ„‹‘‰ƒ•ǤŠ‡‘•– ‘‘–‡ Š‹“—‡• ƒ”‡ ƒ„•‘”’–‹‘ǡ ˆ‘ŽŽ‘™‡† „› ’”‡••—”‡ •™‹‰ ƒ†•‘”’–‹‘ ȋȌǡ ”›‘‰‡‹  ƒ† ‡„”ƒ‡„ƒ•‡†–‡ Š‘Ž‘‰‹‡•ǤͳͺŠ‡•‡–‡ Š‘Ž‘‰‹‡•ƒ”‡Š‘™‡˜‡”„‡•–•—‹–‡†ˆ‘” ”‡Žƒ–‹˜‡Ž› Žƒ”‰‡ • ƒŽ‡ ƒ’’Ž‹ ƒ–‹‘•ǡ ’‡”Šƒ’• ™‹–Š ‡š ‡’–‹‘ ‘ˆ ‡„”ƒ‡ ’”‘ ‡••‡• –Šƒ– „‡ ƒ—•‡ ‘ˆ –Š‡‹” ‘†—Žƒ” †‡•‹‰ ˆƒ ‹Ž‹–ƒ–‡ ‡ƒ•› • ƒŽ‡ —’ ‘” • ƒŽ‡ †‘™Ǥͳͻ  •‹’Ž‡” ƒŽ–‡”ƒ–‹˜‡ ‹• ™ƒ–‡” • ”—„„‹‰ ™Š‹ Š ”‡‘˜‡• „‘–Š ƒ”„‘ †‹‘š‹†‡ ƒ† Š›†”‘‰‡ •—Žˆ‹†‡ ˆ”‘ „‹‘‰ƒ• ƒ• –Š‡•‡ ‘’‘‡–• ƒ”‡ — Š ‘”‡ •‘Ž—„Ž‡–Šƒ‡–Šƒ‡‹™ƒ–‡”ƒ‹‰‹–ƒ‘’–‹‘ǤŠ‡ƒ‹†”ƒ™„ƒ ™‹–Š–Š‹• ‡–Š‘†‹•–Šƒ–‹–”‡“—‹”‡•Žƒ”‰‡ƒ‘—–•‘ˆ™ƒ–‡”ǡ‘†‘”’”‘„Ž‡•ȋˆ”‘–Š‡ ʹ ˜‡–‡†Ȍ ƒ† Š‹‰Š ‡Ž‡ –”‹ ‹–› ‘•—’–‹‘Ǥͳͻ Ž–Š‘—‰Š ƒŽŽ ‘ˆ –Š‡ –‡ Š‹“—‡• ‡–‹‘‡†ƒ„‘˜‡ƒ”‡ —””‡–Ž›‡’Ž‘›‡†ˆ‘”—’‰”ƒ†‹‰„‹‘‰ƒ•ǡ–Š‡”‡‹••–‹ŽŽŠ—‰‡ ’‘–‡–‹ƒŽ ˆ‘” ‹’”‘˜‹‰ –Š‡ ’‡”ˆ‘”ƒ ‡ „› ‘’–‹‹œ‹‰ –Š‡ –‡ Š‘Ž‘‰‹‡• ˆ‘” –Š‡ –ƒ”‰‡–ƒ’’Ž‹ ƒ–‹‘ǤʹͲ. 1.2. Adsorption †•‘”’–‹‘‘•‘Ž‹†•‹•ƒ’Š‡‘‡‘™Š‹ ŠŠƒ’’‡•™Š‡ƒ•‘Ž‹†•—”ˆƒ ‡‹• ‡š’‘•‡† –‘ ƒ Ž‹“—‹† ‘” ‰ƒ•ǡ ƒ† –Š‡ •’‡ ‹‡• ‹ –Š‡ ˆŽ—‹† ƒ†Š‡”‡ –‘ –Š‡ •—”ˆƒ ‡Ǥ †•‘”’–‹‘‹•†‡ˆ‹‡†ƒ•–Š‡‡”‹ Š‡–‘ˆ–Š‡•’‡ ‹‡•‘ˆ–Š‡ˆŽ—‹†‹–Š‡˜‹ ‹‹–› ‘ˆ –Š‡ •—”ˆƒ ‡Ǥʹͳ Š‡ ƒ†•‘”’–‹‘ ’”‘ ‡•• ‹˜‘Ž˜‡• –™‘ ‘’‘‡–•ǣ adsorbent ƒ† adsorbateǤ †•‘”„‡– ‹• –Š‡ •—„•–ƒ ‡ ‘ –Š‡ •—”ˆƒ ‡ ‘ˆ ™Š‹ Š ƒ†•‘”’–‹‘ –ƒ‡• ’Žƒ ‡ǡ ƒ† ƒ†•‘”„ƒ–‡ ‹• –Š‡ •—„•–ƒ ‡ ™Š‹ Š ‹• „‡‹‰ ƒ†•‘”„‡† ‘ –Š‡ •—”ˆƒ ‡ ‘ˆ –Š‡ ƒ†•‘”„‡–Ǥ ƒ•‡† ‘ –Š‡ ƒ–—”‡ ‘ˆ –Š‡ „‘†‹‰ „‡–™‡‡ –Š‡ ƒ†•‘”„ƒ–‡ ‘Ž‡ —Ž‡ ƒ† –Š‡ •‘Ž‹† •—”ˆƒ ‡ǡ ƒ†•‘”’–‹‘ ƒ „‡ Žƒ••‹ˆ‹‡† ƒ• ‡‹–Š‡” chemical adsorption ȋ Š‡‹•‘”’–‹‘Ȍ ™Š‹ Š ‹˜‘Ž˜‡• ‘˜ƒŽ‡– „‘†‹‰ ‘” physicaladsorptionȋ’Š›•‹•‘”’–‹‘Ȍ™Š‹ Š‘ —”•–Š”‘—‰Š™‡ƒ‡”‹–‡”ƒ –‹‘• ˆ‘”‡šƒ’Ž‡ ƒ—•‡†„›˜ƒ†‡”ƒƒŽ•ˆ‘” ‡•ǤʹʹǦʹ͵. ͷ.

(86) Š‡ ’Š‡‘‡‘ ‘ˆ ƒ†•‘”’–‹‘ Šƒ• ˆƒ• ‹ƒ–‡† • ‹‡–‹•–• ˆ‘” ƒ ˜‡”› Ž‘‰ –‹‡Ǥ Š‡ ’”ƒ –‹ ƒŽ ƒ’’Ž‹ ƒ–‹‘• ‘ˆ ƒ†•‘”’–‹‘ ƒ”‡ ˜‡”› ‹’‘”–ƒ– ˆ”‘ ‹†—•–”‹ƒŽ ƒ† ‡˜‹”‘‡–ƒŽ ’”‘–‡ –‹‘ ƒ•’‡ –•Ǥ ‘” ‡šƒ’Ž‡ǡ ƒ†•‘”’–‹‘ ‹• ‹˜‘Ž˜‡† ‹ ’—”‹ˆ‹ ƒ–‹‘ ‘ˆ ™ƒ–‡”ǡ •‡™ƒ‰‡•ǡ ƒ‹” ƒ† •‘‹Ž•Ǥ ƒ”–‹ —Žƒ”Ž›ǡ ‹ –Š‡ ’‡–”‘Ž‡— ”‡ˆ‹‹‰ ƒ† ’‡–”‘ Š‡‹ ƒŽ ‹†—•–”‹‡•ǡ ƒ†•‘”’–‹‘ „ƒ•‡† ’”‘ ‡••‡• ƒ”‡ ‡š–‡•‹˜‡Ž›—•‡†ƒ†”‡ƒ•‘ƒ„Ž›™‡ŽŽǦ‘™ǤʹͶǦʹ͸. 1.2.1. Adsorbents ‡˜‡”ƒŽ ƒ†•‘”„‡–• •— Š ƒ• ƒ –‹˜ƒ–‡† ƒ”„‘ǡ œ‡‘Ž‹–‡• ƒ† •‹Ž‹ ƒ ‰‡Ž Šƒ˜‡ „‡‡ —•‡† ‹ †‹ˆˆ‡”‡– ‹†—•–”‹ƒŽ ’”‘ ‡••‡•Ǥʹ͹ ‘”‘—• •‘Ž‹†• ƒ”‡ ‹’‘”–ƒ– ƒ†•‘”„‡–• „‘–Š ˆ‘” • ‹‡–‹ˆ‹  ”‡•‡ƒ” Š ƒ† ‹†—•–”‹ƒŽ ƒ’’Ž‹ ƒ–‹‘•Ǥʹͺ  ‰‘‘† ’‘”‘—• ƒ†•‘”„‡–•Š‘—Ž†„‡ƒ„Ž‡–‘’”‘˜‹†‡Š‹‰Šƒ†•‘”’–‹‘ ƒ’ƒ ‹–›ǡŠ‹‰Š•‡Ž‡ –‹˜‹–›ƒ† ˆƒ•– ‹‡–‹ • ˆ‘” ƒ ‡ˆˆ‹ ‹‡– ƒ†•‘”’–‹‘ ’”‘ ‡••Ǥ

(87)  ‘”†‡” –‘ •ƒ–‹•ˆ› –Š‡•‡ ”‡“—‹”‡‡–•ǡ –Š‡ ’‘”‘—• ƒ†•‘”„‡– •Š‘—Ž† Šƒ˜‡ ”‡ƒ•‘ƒ„Ž› Š‹‰Š •—”ˆƒ ‡ ƒ”‡ƒ ™‹–Š ƒ Š‹‰Š †‡•‹–› ‘ˆ ƒ†•‘”’–‹‘ •‹–‡• ȋ ƒ’ƒ ‹–›Ȍ ƒ† ”‡Žƒ–‹˜‡Ž› Žƒ”‰‡ ’‘”‡ ‡–™‘” ƒ† •ƒŽŽ ’ƒ”–‹ Ž‡ •‹œ‡ –‘ ˆƒ ‹Ž‹–ƒ–‡ ƒ •Š‘”– †‹ˆˆ—•‹‘ ’ƒ–Š ȋ‹‡–‹ •ȌǤʹͻ ‘”‘—•ƒ–‡”‹ƒŽ•ƒ›„‡ Žƒ••‹ˆ‹‡†‹–Š”‡‡ ƒ–‡‰‘”‹‡•ǣ͵Ͳ ‹ ”‘•’‘”‡•ǣ†δʹ ‡•‘’‘”‡•ǣʹδ†δͷͲ ƒ ”‘’‘”‡•ǣ†εͷͲ Š‡ ˆƒ – –Šƒ– †‹ˆˆ‡”‡– •’‡ ‹‡• ƒ› •Š‘™ †‹ˆˆ‡”‡– ƒˆˆ‹‹–‹‡• ˆ‘” ƒ ’ƒ”–‹ —Žƒ” •—”ˆƒ ‡ ƒ› „‡ ‡š’Ž‘‹–‡† ˆ‘” •‡’ƒ”ƒ–‹‰ †‹ˆˆ‡”‡– •’‡ ‹‡• ˆ”‘ ƒ ‹š–—”‡Ǥ †•‘”’–‹‘ ‹ œ‡‘Ž‹–‡• ˆ‹†• ‡š–‡•‹˜‡ ƒ’’Ž‹ ƒ–‹‘• ‹ ‹†—•–”›Ǥ ‘” ‡šƒ’Ž‡ǡ ’—”‹ˆ‹ ƒ–‹‘ ‘ˆ ƒ–—”ƒŽ ‰ƒ• •–”‡ƒ•ǡ ‰ƒ• †”›‹‰ǡ •‡’ƒ”ƒ–‹‘ ‘ˆ ƒ”‘ƒ–‹ • ƒ† ƒ‹” •‡’ƒ”ƒ–‹‘ ƒ”‡ •‘‡ ‘ˆ –Š‡ ‘•– ‹’‘”–ƒ– ‘‡” ‹ƒŽ ƒ’’Ž‹ ƒ–‹‘• ‘ˆ ƒ†•‘”„‡–•Ǥ͵ͳ. 1.2.2. Zeolites ‡‘Ž‹–‡• ™‡”‡ †‹• ‘˜‡”‡† „› ™‡†‹•Š ‹‡”ƒŽ‘‰‹•–ǡ š‡Ž ”‡†”‹ ”‘•–‡†–ǡ ‹ –Š‡ͳͺ–Š ‡–—”›Ǥ͵ʹ ‡‘„•‡”˜‡†–Šƒ–ƒŽƒ”‰‡ƒ‘—–‘ˆ•–‡ƒ™ƒ•’”‘†— ‡†ˆ”‘ ™ƒ–‡” ƒ†•‘”„‡† ‹ –Š‡ ƒ–‡”‹ƒŽ ™Š‡ ‹– ™ƒ• Š‡ƒ–‡† —’Ǥ Š‡ ƒ‡ œ‡‘Ž‹–‡ ‹• ‘”‹‰‹ƒŽŽ›ˆ”‘ ”‡‡™‘”†•zeo‡ƒ‹‰Dz–‘„‘‹Ždzǡƒ†lithios‡ƒ‹‰Dz•–‘‡dzǤ͵͵ ‡‘Ž‹–‡• ƒ”‡ ‹ ”‘’‘”‘—• ‹‘”‰ƒ‹  ƒ–‡”‹ƒŽ• ‘•‹•–‹‰ ‘ˆ –Š”‡‡ †‹‡•‹‘ƒŽ ‡–™‘”• ‘ˆ ‹–‡”Ž‹‡† –‡–”ƒŠ‡†”ƒ of alumina (AlO4) ƒ† silica (SiO4)ǡ –‘‰‡–Š‡” ™‹–Š Šƒ”‰‡Ǧ„ƒŽƒ ‹‰ ƒ–‹‘••— Šƒ•ƒΪǡ Ϊǡ‡– Ǥ™‹–Š‹–Š‡‹”’‘”‡•Ǥ͵ͶŠ‡‹ȀŽ ”ƒ–‹‘ ‹• ‹’‘”–ƒ– ƒ• ‹– –‘ ƒ Žƒ”‰‡ ‡š–‡– †‹ –ƒ–‡• ‡Ǥ‰Ǥ –Š‡ Š›†”‘’Š‘„‹ ‹–› ‘ˆ –Š‡ œ‡‘Ž‹–‡ǡ –Š‡ Š‹‰Š‡” –Š‡ ƒŽ—‹— ‘–‡– ȋ•ƒŽŽ‡” ‹ȀŽ ”ƒ–‹‘Ȍ –Š‡ ‘”‡. ͸.

(88) Š›†”‘’Š‹Ž‹ –Š‡œ‡‘Ž‹–‡‰‡–•ǤŠ—•ǡ„›ƒŽ–‡”‹‰–Š‡ƒŽ—‹— ‘–‡–‘ˆ–Š‡œ‡‘Ž‹–‡ǡ ‘‡ ƒ› –ƒ‹Ž‘” –Š‡ ƒ†•‘”’–‹‘ ’”‘’‡”–‹‡•ǡ •‘ –Šƒ– –Š‡ œ‡‘Ž‹–‡ ˆƒ˜‘”• ‡‹–Š‡” Š›†”‘’Š‹Ž‹ ‘”Š›†”‘’Š‘„‹ ƒ†•‘”„ƒ–‡•Ǥ‘‡‘–Š‡”’”‘’‡”–‹‡•‘ˆœ‡‘Ž‹–‡•ǡ•— Šƒ• –Š‡”ƒŽ •–ƒ„‹Ž‹–› ƒ† ‹‘ ‡š Šƒ‰‡ ƒ’ƒ ‹–›ǡ ƒ”‡ ƒŽ•‘ •‹‰‹ˆ‹ ƒ–Ž› †‡’‡†‡– ‘ ‹ȀŽ”ƒ–‹‘Ǥ͵ͷ ‡‘Ž‹–‡• ƒŠƒ˜‡†‹ˆˆ‡”‡–’‘”‡•‹œ‡ƒ†–‘’‘Ž‘‰‹‡•ǤŠ‡’‘”‘•‹–›‘ˆœ‡‘Ž‹–‡•‹• ƒ‡••‡–‹ƒŽ–‡”–‘†‡ˆ‹‡–Š‡•–”— –—”‡‘ˆ–Š‹•ƒ–‡”‹ƒŽǤ‡‘Ž‹–‡•ƒ”‡†‡ˆ‹‡†ƒ• ‹ ”‘’‘”‘—• ƒ–‡”‹ƒŽ• ™‹–Š ’‘”‡ •‹œ‡• ‹ –Š‡ ”ƒ‰‡ ͲǤ͵ –‘ ͳǤ͵ Ǥ͵͸ ‡ ƒ—•‡ ‘ˆ –Š‡‹” ™‡ŽŽǦ†‡ˆ‹‡† ’‘”‡ •›•–‡ǡ ‹ ‘„‹ƒ–‹‘ ™‹–Š –Š‡ ƒ„‹Ž‹–› –‘ –ƒ‹Ž‘” –Š‡ ƒŽ—‹— ‘–‡–ƒ†–Š‡’‘••‹„‹Ž‹–›–‘‹‘Ǧ‡š Šƒ‰‡–Š‡ƒ–‡”‹ƒŽ•ǡœ‡‘Ž‹–‡•Šƒ˜‡ ˆ‘—† ƒ› ƒ’’Ž‹ ƒ–‹‘• ‹ ‹†—•–”›ǡ ˆ‘” ‹•–ƒ ‡ǡ ƒ• ™ƒ–‡” •‘ˆ–‡‡”• ‹ †‡–‡”‰‡–•ǡ͵͹ •Šƒ’‡ •‡Ž‡ –‹˜‡ ƒ–ƒŽ›•–•͵ͺ ‹ –Š‡ ‘‹Ž ”‡ˆ‹‹‰ ƒ† ’‡–”‘ Š‡‹ ƒŽ ‹†—•–”‹‡•ƒ†ƒ••‡Ž‡ –‹˜‡ƒ†•‘”„‡–•ˆ‘”•‡’ƒ”ƒ–‹‰‰ƒ•‘”Ž‹“—‹†‹š–—”‡•Ǥ͵ͻ ‡‘Ž‹–‡• ƒ”‡ ’”‹ƒ”‹Ž› —•‡† ‹ ’‘™†‡” ˆ‘”ǡ „—– –Š‡› ƒ ƒŽ•‘ „‡ ’”‡’ƒ”‡† ƒ• ˆ‹Ž• ‘ †‹ˆˆ‡”‡– –›’‡• ‘ˆ ‘”‰ƒ‹  ȋ‡Ǥ‰Ǥ ’‘Ž›‡”ǡ ‡ŽŽ—Ž‘•‡Ȍ ‘” ‹‘”‰ƒ‹  ȋ‡Ǥ‰Ǥ ‡–ƒŽǡ ‘” ‡”ƒ‹ Ȍ •—’’‘”–• ˆ‘” ‡ Šƒ‹ ƒŽ •–ƒ„‹Ž‹–›ǤͶͲ Š‡•‡ œ‡‘Ž‹–‡ ˆ‹Ž• •Š‘™ ‰”‡ƒ– ’‘–‡–‹ƒŽ ‹ •‡˜‡”ƒŽ †‹ˆˆ‡”‡– ƒ’’Ž‹ ƒ–‹‘ ƒ”‡ƒ• •— Š ƒ•ǣ membranes, •–”— –—”‡†catalysts‘”adsorbentsƒ†ƒ• Š‡‹ ƒŽsensorsǤͶͳǦͶ͵ ‘†ƒ›ǡ ‘”‡ –Šƒ ʹ͵Ͳ –›’‡• ‘ˆ œ‡‘Ž‹–‡• ƒ”‡ ‘™ ƒ† Žƒ••‹ˆ‹‡† „› –Š‡

(89) –‡”ƒ–‹‘ƒŽ ‡‘Ž‹–‡ ••‘ ‹ƒ–‹‘ ȋ

(90) ȌǤͶͶ ƒ Š ˆ”ƒ‡™‘” ‹• †‡•‹‰ƒ–‡† ™‹–Š ƒ –Š”‡‡ǦŽ‡––‡” ‘†‡ǡ ˆ‘” ‡šƒ’Ž‡ǡ ǡ  ƒ† 

(91)  ȋǦͷ ƒ† •‹Ž‹ ƒŽ‹–‡ǦͳȌ ˆ”‘ ™Š‹ Š–Š‡Žƒ––‡”‹•‘ˆ•’‡ ‹ƒŽ‹–‡”‡•–‹–Š‹•™‘”Ǥ  . ͹.

(92)  Figure1.‘’‘Ž‘‰›‘ˆ–Š‡œ‡‘Ž‹–‡

(93) ˆ”ƒ‡™‘”ǤͶͶ.  

(94)  –Š‹• ™‘”ǡ ™‡ ˆ‘ —• ‘ –Š‡ 

(95) Ǧ–›’‡ œ‡‘Ž‹–‡Ǥ ‡‘Ž‹–‡ 

(96)  Šƒ• ƒ ’‘”‡ •›•–‡ ‘•‹•–‹‰ ‘ˆ •–”ƒ‹‰Š– ’‘”‡• ȋͲǤͷͳྶͲǤͷͷ Ȍ ‰‘‹‰ ‹ ‘‡ ”›•–ƒŽŽ‘‰”ƒ’Š‹  †‹”‡ –‹‘ȋ–Š‡bǦ†‹”‡ –‹‘Ȍƒ†‹–‡” ‘‡ –‹‰•‹—•‘‹†ƒŽ’‘”‡•ȋͲǤͷͶྶͲǤͷ͸Ȍ ‰‘‹‰‹–Š‡aǦ†‹”‡ –‹‘™‹–Šƒƒ˜‡”ƒ‰‡†‹ƒ‡–‡”‘ˆ–Š‡’‘”‡•„‡‹‰ ƒͲǤͷͷǤͶͷ ‡‘Ž‹–‡ 

(97)  ƒ› „‡ Žƒ••‹ˆ‹‡† ƒ• ‡‹–Š‡” Ǧͷ ‘” •‹Ž‹ ƒŽ‹–‡Ǧͳ †‡’‡†‹‰ ‘ –Š‡ ‹ȀŽ”ƒ–‹‘ǣ—•—ƒŽŽ›ˆ‘”‹ȀŽεʹͲͲȋ‘”Žˆ”‡‡Ȍ–Š‡œ‡‘Ž‹–‡‹• Žƒ••‹ˆ‹‡†ƒ••‹Ž‹ ƒŽ‹–‡Ǧ ͳǡ ƒ† ˆ‘” ‹ȀŽδ ʹͲͲ ‹– ‹• Žƒ••‹ˆ‹‡† ƒ• ǦͷǤͶ͸ • ‡Žƒ„‘”ƒ–‡† ƒ„‘˜‡ǡ –Š‡ Š›†”‘’Š‘„‹ ‹–› ‘ˆ –Š‡ œ‡‘Ž‹–‡ ‹• –‘ ƒ Žƒ”‰‡ †‡‰”‡‡ †‹ –ƒ–‡† „› –Š‡ ‹ȀŽ ”ƒ–‹‘Ǣ –Š‡”‡ˆ‘”‡ǡ•‹Ž‹ ƒŽ‹–‡Ǧͳ™‹–ŠŠ‹‰Š‹ȀŽ”ƒ–‹‘™‘—Ž†„‡–Š‡’”‡ˆ‡””‡†ƒ†•‘”„‡–ˆ‘” ”‡ ‘˜‡”‹‰ ƒŽ ‘Š‘Ž• ˆ”‘ †‹Ž—–‡ ƒ“—‡‘—• •‘Ž—–‹‘•Ǥ ‘” •‡’ƒ”ƒ–‹‰ ‘–ƒ‹ƒ–• ȋ ƒ”„‘†‹‘š‹†‡ƒ†™ƒ–‡”Ȍˆ”‘‡–Šƒ‡ǡ–Š‡•‹–—ƒ–‹‘‰‡–•‘”‡ ‘’Ž‹ ƒ–‡†ƒ• ƒ’‘Žƒ”œ‡‘Ž‹–‡™‘—Ž†ˆƒ˜‘”–Š‡ƒ†•‘”’–‹‘‘ˆ„‘–Š™ƒ–‡”ƒ† ƒ”„‘†‹‘š‹†‡‘˜‡” –Šƒ– ‘ˆ ‡–Šƒ‡Ǥ ‘™‡˜‡”ǡ ƒ •—ˆˆ‹ ‹‡–Ž› ’‘Žƒ” œ‡‘Ž‹–‡ ™‘—Ž† ƒ†•‘”„ ™ƒ–‡” •‹‰‹ˆ‹ ƒ–Ž› •–”‘‰‡” –Šƒ ƒ”„‘ †‹‘š‹†‡ •‘ –Šƒ– ƒŽ‘•– ‘Ž› ™ƒ–‡” ™‹ŽŽ „‡ ƒ†•‘”„‡† ˆ”‘ –Š‡ „‹‘‰ƒ•ǡ –Š—• ƒ ”‡Žƒ–‹˜‡Ž› Š›†”‘’Š‘„‹  œ‡‘Ž‹–‡ ™‹–Š Ž‘™ ƒŽ—‹— ‘–‡–ƒ›„‡•—‹–ƒ„Ž‡ˆ‘””‡‘˜‹‰„‘–Š ƒ”„‘†‹‘š‹†‡ƒ†™ƒ–‡” ˆ”‘„‹‘‰ƒ•Ǥ. ͺ.

(98) ‹’‘”–ƒ– ‘ ‡”ƒ„‘—–œ‡‘Ž‹–‡•‹•–Š‡’”‡•‡ ‡‘ˆ•–”— –—”ƒŽ†‡ˆ‡ –•‹–Š‡ Žƒ––‹ ‡ ™Š‹ Š ƒ› ’‘–‡–‹ƒŽŽ› ƒˆˆ‡ – –Š‡ •‡Ž‡ –‹˜‹–› ‘ˆ –Š‡ œ‡‘Ž‹–‡ „‘–Š ˆ‘” ƒ†•‘”’–‹‘ ƒ† ‹ ƒ–ƒŽ›•‹•Ǥ ”ƒ†‹–‹‘ƒŽŽ›ǡ œ‡‘Ž‹–‡• ƒ”‡ •›–Š‡•‹œ‡† ƒ– ’  ˜ƒŽ—‡• ƒ”‘—† ͳͲǦͳͳ ”‡•—Ž–‹‰ ‹ •‘‡ ‘ˆ –Š‡ ‹ᄙᄙ‹ „‘†• „‡‹‰ „”‘‡ǡ –Š‹• ‹ –—” ”‡•—Ž–•‹–Š‡ˆ‘”ƒ–‹‘‘ˆ‹–‡”ƒŽ•‹Žƒ‘Ž‰”‘—’•ȋ‫‹ؠ‬ᄙ ȌǤͶ͹ǦͷͳŠ‡’”‡•‡ ‡‘ˆ –Š‡•‡ •‹Žƒ‘Ž ‰”‘—’• ‹ ”‡ƒ•‡• –Š‡ ’‘Žƒ”‹–› ƒ† ‘•‡“—‡–Ž› ƒŽ•‘ ‹ ”‡ƒ•‡• –Š‡ Š›†”‘’Š‹Ž‹ ƒ–—”‡‘ˆ–Š‡œ‡‘Ž‹–‡Ǥͷʹ— Š†‡ˆ‡ –•‹‰Š–„‡—†‡•‹”ƒ„Ž‡†‡’‡†‹‰ ‘ –Š‡ ƒ’’Ž‹ ƒ–‹‘Ǥ ‘” ‡šƒ’Ž‡ǡ ƒ Š‹‰Š ‘ ‡–”ƒ–‹‘ ‘ˆ •‹Žƒ‘Ž †‡ˆ‡ –• ‹ –Š‡ •–”— –—”‡ ‘ˆ ƒŽŽǦ•‹Ž‹ ƒ œ‡‘Ž‹–‡• ƒ •‹‰‹ˆ‹ ƒ–Ž› ”‡†— ‡ –Š‡‹” •‡’ƒ”ƒ–‹‘ ’‡”ˆ‘”ƒ ‡ ˆ‘” ”‡ ‘˜‡”› ‘ˆ ƒŽ ‘Š‘Ž• ˆ”‘ ƒ“—‡‘—• ‹š–—”‡•Ǥͷ͵Ǧͷͷ ‘™‡˜‡”ǡ œ‡‘Ž‹–‡• ’”‡’ƒ”‡† ƒ– ‡ƒ”Ž› ‡—–”ƒŽ ’  ‹ ˆŽ—‘”‹†‡ ȋ ·Ȍ ‡†‹— —•—ƒŽŽ› •Š‘™ ƒ •ƒŽŽ ‘ ‡–”ƒ–‹‘ ‘ˆ •— Š †‡ˆ‡ –•ǡ –Š—• ‰‹˜‹‰ –Š‡•‡ ƒ–‡”‹ƒŽ• ƒ ‘”‡ Š›†”‘’Š‘„‹ ƒ–—”‡ƒŽ–‡”‹‰–Š‡ƒ†•‘”’–‹‘’”‘’‡”–‹‡•ǤͶ͹ǡͷ͸Ǧͷ͹ ‘•‹†‡”‹‰ ƒŽŽ –Š‡•‡ —‹“—‡’”‘’‡”–‹‡• ‘ˆ œ‡‘Ž‹–‡• ƒ† –Š‡’‘••‹„‹Ž‹–› –‘ –ƒ‹Ž‘” –Š‡’”‘’‡”–‹‡•‘ˆ–Š‡œ‡‘Ž‹–‡ǡ‹–‹•‘–•—”’”‹•‹‰–Šƒ–— Š‡ˆˆ‘”–Šƒ•„‡‡†‡˜‘–‡† –‘‹˜‡•–‹‰ƒ–‡”‡ ‘˜‡”›‘ˆ˜ƒŽ—ƒ„Ž‡ Š‡‹ ƒŽ•ˆ”‘†‹Ž—–‡ˆ‡”‡–ƒ–‹‘•‘Ž—–‹‘•ǡͺǡ ͳ͵ǡͷͺ”‡‘˜‹‰ ‡”–ƒ‹ Žƒ••‡•‘ˆ’‘ŽŽ—–ƒ–•ˆ”‘ƒ‹”‘”™ƒ–‡”ͷͻƒ†•‡˜‡”ƒŽ‘–Š‡” ƒ’’Ž‹ ƒ–‹‘•‹–Š‡’—”‹ˆ‹ ƒ–‹‘ƒ†•‡’ƒ”ƒ–‹‘‘ˆ‰ƒ•‡•ƒ†Ž‹“—‹†•Ǥ͸Ͳ. 1.2.3. Adsorptionisotherms †•‘”’–‹‘ ‹• —•—ƒŽŽ› †‡• ”‹„‡† „› ƒ†•‘”’–‹‘ ‹•‘–Š‡”•Ǥ  ƒ†•‘”’–‹‘ ‹•‘–Š‡” ”‡Žƒ–‡• –Š‡ ƒ‘—– ‘ˆ ƒ†•‘”„ƒ–‡ǡ ƒ– ‡“—‹Ž‹„”‹—ǡ ‘ ƒ ‰‹˜‡ ƒ‘—– ‘ˆ ƒ†•‘”„‡– ƒ• ƒ ˆ— –‹‘ ‘ˆ ’ƒ”–‹ƒŽ ’”‡••—”‡ ‘” ‘ ‡–”ƒ–‹‘ ‘ˆ ƒ†•‘”„ƒ–‡ ‹ –Š‡ ˆŽ—‹††‡–‡”‹‡†ƒ–ƒ ‡”–ƒ‹ ‘•–ƒ––‡’‡”ƒ–—”‡Ǥƒ›†‹ˆˆ‡”‡–‘†‡Ž•Šƒ˜‡ „‡‡†‡”‹˜‡†–‘†‡• ”‹„‡ƒ†•‘”’–‹‘‹•‘–Š‡”•Ǥ‘‡ ‘‘‘†‡Ž•‘ˆ–‡—•‡† ˆ‘”†‡• ”‹„‹‰ƒ†•‘”’–‹‘‹œ‡‘Ž‹–‡•ƒ”‡‰‹˜‡„‡Ž‘™Ǥ ‹Ȍ. q qs. LangmuirǣŠ‡ƒ‰—‹”‘†‡Ž‹•’”‘„ƒ„Ž›–Š‡‘•– ‘‘‘†‡Ž—•‡† –‘†‡• ”‹„‡ƒ†•‘”’–‹‘‹œ‡‘Ž‹–‡•ǤŠ‡ƒ‰—‹”‹•‘–Š‡”‹•„ƒ•‡†‘–Š‡ ƒ••—’–‹‘•–Šƒ––Š‡”‡‹•ƒ†›ƒ‹ ‡“—‹Ž‹„”‹—„‡–™‡‡‘Ǧ‹–‡”ƒ –‹‰ ƒ†•‘”„‡† ‘Ž‡ —Ž‡• ƒ† –Š‡ ‘Ž‡ —Ž‡• ‹ –Š‡ ˆ”‡‡ ‰ƒ• ’Šƒ•‡ǡ –Š‡ •—”ˆƒ ‡ Šƒ• ƒ •’‡ ‹ˆ‹  —„‡” ‘ˆ ‡“—‹˜ƒŽ‡– •‹–‡• ™Š‡”‡ –Š‡ ‘Ž‡ —Ž‡• ƒ „‡ ƒ†•‘”„‡†ƒ†‡ƒ Š•‹–‡‹• ƒ’ƒ„Ž‡‘ˆŠ‘Ž†‹‰ƒ–‘•–‘‡‘Ž‡ —Ž‡Ǥ͸ͳŠ‹• ‘†‡Ž‹•‡š’”‡••‡†ƒ•ǣ bP 1  bP . ȋͳȌ. ™Š‡”‡ q ‹• –Š‡ ƒ†•‘”„‡† ‘ ‡–”ƒ–‹‘ ‘ˆ ƒ†•‘”„‡† •’‡ ‹‡•ǡ qs ‹• –Š‡ •ƒ–—”ƒ–‹‘ Ž‘ƒ†‹‰‹Ǥ‡Ǥ–Š‡ƒš‹—ƒ‘—–ƒ†•‘”„‡†’‘••‹„Ž‡ǡP‹•–Š‡’ƒ”–‹ƒŽ’”‡••—”‡‘ˆ. ͻ.

(99) –Š‡ƒ†•‘”„ƒ–‡‹–Š‡‰ƒ•’Šƒ•‡ƒ†b‹•–Š‡ƒ‰—‹”ƒ†•‘”’–‹‘’ƒ”ƒ‡–‡”ǤŠ‡ ƒ‰—‹” ƒ†•‘”’–‹‘ ’ƒ”ƒ‡–‡”• ƒ”‡ ”‡Žƒ–‡† –‘ –Š‡ Š‡ƒ– ‘ˆ ƒ†•‘”’–‹‘ ȋοHadsȌ ™Š‹ Š”‡ˆŽ‡ –•–Š‡ƒˆˆ‹‹–›‘ˆ–Š‡ƒ†•‘”„ƒ–‡ˆ‘”–Š‡ƒ†•‘”„‡–•—”ˆƒ ‡ǤŠ‡Š‡ƒ–‘ˆ ƒ†•‘”’–‹‘ ƒ› „‡ †‡–‡”‹‡† —•‹‰ –Š‡ Ž‹‡ƒ” ˜‡”•‹‘ ‘ˆ –Š‡ ˜ƒǯ– ‘ˆˆ ‡“—ƒ–‹‘ǣ͸ʹ ln b . 'H ads 'S ads  RT R . ȋʹȌ. ™Š‡”‡ǡοSads‹•–Š‡‡–”‘’› Šƒ‰‡—’‘ƒ†•‘”’–‹‘ǡR‹•–Š‡‰ƒ• ‘•–ƒ–ƒ†T‹• –Š‡–‡’‡”ƒ–—”‡Ǥ †•‘”’–‹‘ ‹• ƒ ‡š‘–Š‡”‹  ’”‘ ‡•• ƒ† –Š‡”‡ˆ‘”‡ –Š‡ Š‡ƒ– ‘ˆ ƒ†•‘”’–‹‘ ‹• ‡‰ƒ–‹˜‡ ™Š‹ Š ‡ƒ• –Šƒ– –Š‡ ƒ‘—– ƒ†•‘”„‡† ƒ– ƒ ‡”–ƒ‹ ’ƒ”–‹ƒŽ ’”‡••—”‡ †‡ ”‡ƒ•‡• ™‹–Š ‹ ”‡ƒ•‹‰ –‡’‡”ƒ–—”‡ǡ –Š‹• ‹• ƒŽ•‘ ”‡ˆŽ‡ –‡† ‹ †‡ ”‡ƒ•‹‰ bǦ ˜ƒŽ—‡• ™‹–Š ‹ ”‡ƒ•‹‰ –‡’‡”ƒ–—”‡•Ǥ Š‡ Š‡ƒ– ‘ˆ ƒ†•‘”’–‹‘ ƒ› „‡ ‘„–ƒ‹‡† ˆ”‘‡š’‡”‹‡–•„›†‡–‡”‹‹‰ƒ†•‘”’–‹‘‹•‘–Š‡”•ƒ–†‹ˆˆ‡”‡––‡’‡”ƒ–—”‡• ƒ†–Š‡”‡ƒˆ–‡”’Ž‘––‹‰Ž(b)˜‡”•—•1/T™Š‹ Š•Š‘—Ž†”‡•—Ž–‹ƒŽ‹‡ƒ”ˆ— –‹‘ ™‹–Š–Š‡•Ž‘’‡‘ˆο‫ܪ‬௔ௗ௦ Τܴ Ǥ Š‡ Š‡ƒ– ‘ˆ ƒ†•‘”’–‹‘ ‹• ”‡Žƒ–‡† –‘ –Š‡ ‡‡”‰› ‘ˆ –Š‡ ‹–‡”ƒ –‹‘• ™Š‹ Š ƒ”‡ ƒ –‹˜‡ †—”‹‰ –Š‡ ƒ†•‘”’–‹‘ ’”‘ ‡••ǡ ƒ† ‹– ”‡’”‡•‡–• –Š‡ •–”‡‰–Š ‘ˆ –Š‡ ‹–‡”ƒ –‹‘•„‡–™‡‡–Š‡ƒ†•‘”„ƒ–‡‘Ž‡ —Ž‡•ƒ†–Š‡ƒ†•‘”„‡–Ǥ͸͵ ‹‹Ȍ. q. Sips: Š‡ ƒ‰—‹” ƒ†•‘”’–‹‘ ‘†‡Ž †‡• ”‹„‡• ƒ†•‘”’–‹‘ ‹•‘–Š‡”• „› ƒ••—‹‰ ‹†‡ƒŽ ƒ†•‘”’–‹‘ „‡Šƒ˜‹‘”Ǥ ‘™‡˜‡”ǡ ‹ ƒ ”‡ƒŽ •‹–—ƒ–‹‘ǡ –Š‡ •—”ˆƒ ‡ Š‡–‡”‘‰‡‡‹–› ‹• ƒ ‘•‹†‡”ƒ„Ž‡ ’”‘’‡”–› ‘ˆ ƒ ƒ†•‘”„‡–ǡ ƒ• –Š‡ •—”ˆƒ ‡ ‹• ‡˜‡” ˆ”‡‡ ‘ˆ †‡ˆ‡ –•ǡ Š‡‹ ƒŽ ‹’—”‹–‹‡•ǡ ‰‡‘‡–”‹ ƒŽ †‹•Ž‘ ƒ–‹‘•ǡ‡– Ǥ‘•‡“—‡–Ž›ǡ–Š‡‡‡”‰›‘ˆ–Š‡ƒ†•‘”’–‹‘•‹–‡•™‹ŽŽ˜ƒ”› ˆ‘”ƒ”‡ƒŽ•—”ˆƒ ‡ǡƒ†–Š‹•‹•ƒ ‘—–‡†ˆ‘”‹–Š‡‹’•ƒ†•‘”’–‹‘‘†‡ŽǤ͵Ͳ Š‡ ‹’• ‘†‡Ž ‹• ƒ ‘„‹ƒ–‹‘ ‘ˆ –Š‡ ƒ‰—‹” ƒ† ”‡—†Ž‹ Š ‹•‘–Š‡”• ˆ‘” ’”‡†‹ –‹‰ ƒ†•‘”’–‹‘ ‘ Š‡–‡”‘‰‡‡‘—• ƒ†•‘”’–‹‘ •›•–‡•Ǥ͸ͳŠ‡‹’•‘†‡Ž‹•‰‹˜‡„›‡“—ƒ–‹‘ȋ͵ȌǤ qsat. bP1 n  1 bP1 n. ȋ͵Ȍ.

(100)  –Š‹• ‡“—ƒ–‹‘ǡ qsat ‹• –Š‡ •ƒ–—”ƒ–‹‘ Ž‘ƒ†‹‰ǡ P ‹• –Š‡ ’ƒ”–‹ƒŽ ’”‡••—”‡ ‘ˆ ƒ†•‘”„ƒ–‡ ‹ –Š‡ ‰ƒ• ’Šƒ•‡ǡ b ‹• –Š‡ ƒ‰—‹” ƒˆˆ‹‹–› ’ƒ”ƒ‡–‡”ǡ ƒ† n ‹• –Š‡ ”‡—†Ž‹ Š‡š’‘‡–ȋŠ‡–‡”‘‰‡‡‹–›ˆƒ –‘”Ȍ™Š‹ Š‹•–Š‡ƒ††‹–‹‘ƒŽ’ƒ”ƒ‡–‡”‹ –Š‡ ‹’• ‘†‡Ž ‘’ƒ”‡† –‘ –Š‡ ƒ‰—‹” ‘†‡Ž ƒ† ‹• —•—ƒŽŽ› ‰”‡ƒ–‡” –Šƒ —‹–›Ǥ͸Ͷ

(101) ˆ –Š‡ ”‡—†Ž‹ Š ‡š’‘‡– ȋnȌ ‹• —‹–›ǡ –Š‡ ƒ‰—‹” ‡“—ƒ–‹‘ ™‹ŽŽ „‡ ͳͲ.

(102) ‘„–ƒ‹‡†™Š‹ Š‹• ‘‘Ž›ƒ’’Ž‹ ƒ„Ž‡ˆ‘”‹†‡ƒŽ•—”ˆƒ ‡•Ǥ͸ͷŠ‡˜ƒŽ—‡‘ˆnˆ‘”ƒ Š‘‘‰‡‡‘—• ƒ–‡”‹ƒŽ ‹• ‘‡ǡ ƒ† ‹– ‹• ‰”‡ƒ–‡” –Šƒ ‘‡ ˆ‘” Š‡–‡”‘‰‡‡‘—• ƒ–‡”‹ƒŽ•Ǥ Š—•ǡ –Š‡ Žƒ”‰‡” –Š‡ ”‡—†Ž‹ Š ‡š’‘‡–ǡ ‹– ‹’Ž‹‡• –Š‡ ‰”‡ƒ–‡” –Š‡ Š‡–‡”‘‰‡‡‹–›‘ˆ–Š‡•›•–‡Ǥ ͳǤʹǤͶǤ Mixedgasadsorption 

(103)  ‘•– ƒ•‡•ǡ ƒ†•‘”’–‹‘ •›•–‡• ‹˜‘Ž˜‡ ‘”‡ –Šƒ ‘‡ ‘’‘‡–Ǥ Š‡”‡ˆ‘”‡ǡ‹– ‹•‘ˆ‰”‡ƒ–‹’‘”–ƒ ‡–‘—†‡”•–ƒ†ƒ†•‘”’–‹‘•›•–‡•‹˜‘Ž˜‹‰ ‘’‡–‹–‹‘ „‡–™‡‡ ‘Ž‡ —Ž‡• ‘ˆ †‹ˆˆ‡”‡– –›’‡• ˆ‘” ‡˜ƒŽ—ƒ–‹‘ ‘ˆ ƒ†•‘”„‡–• ƒ†‹–‡”’”‡–ƒ–‹‘‘ˆ–‡ Š‹ ƒŽƒ†•‘”’–‹‘’”‘ ‡••‡•Ǥ ‘”ƒ‡ˆˆ‹ ‹‡–•‡’ƒ”ƒ–‹‘ ’”‘ ‡••„ƒ•‡†‘ƒ†•‘”’–‹‘ǡ•—ˆˆ‹ ‹‡–Ž›Š‹‰Šƒ†•‘”’–‹‘•‡Ž‡ –‹˜‹–›‹•”‡“—‹”‡†ǡ ‹Ǥ‡Ǥ–Šƒ–‘‡‘ˆ–Š‡ ‘’‘‡–•ƒ†•‘”„•’”‡ˆ‡”‡–‹ƒŽŽ›–Šƒ–Š‡‘–Š‡” ‘’‘‡–•Ǥ i). SelectivityǣŠ‡ƒ†•‘”’–‹‘•‡Ž‡ –‹˜‹–›ȋȽȌ‹•†‡ˆ‹‡†ƒ•–Š‡‘Ž‡ˆ”ƒ –‹‘ ‘ˆ–Š‡ ‘’‘‡–•ȋXiƒ†XjȌ‹–Š‡ƒ†•‘”„‡†’Šƒ•‡†‹˜‹†‡†„›–Š‡‘Ž‡ ˆ”ƒ –‹‘•‹–Š‡Ž‹“—‹†‘”‰ƒ•’Šƒ•‡ȋYiƒ†YjȌǣ Xi X j. D ij. Yi Y j. . ȋͶȌ. 

(104) ƒ’Š›•‹ ƒŽƒ†•‘”’–‹‘•›•–‡ǡ•‡Ž‡ –‹˜‹–›ƒ›†‡’‡†‘†‹ˆˆ‡”‡ ‡•‹‡‹–Š‡” ‡“—‹Ž‹„”‹— ‘” ‹‡–‹ •Ǥ ‘™‡˜‡”ǡ ‘•– ‘ˆ –Š‡ ƒ†•‘”’–‹‘ „ƒ•‡† •‡’ƒ”ƒ–‹‘ ’”‘ ‡••‡•†‡’‡†‘‡“—‹Ž‹„”‹—„ƒ•‡†•‡Ž‡ –‹˜‹–›Ǥ͵ͳ ‡•’‹–‡‹–•‹’‘”–ƒ ‡ǡƒ†•‘”’–‹‘†ƒ–ƒˆ‘”—Ž–‹ ‘’‘‡–‹š–—”‡•ƒ”‡• ƒ”‡• „‡ ƒ—•‡ –Š‡•‡ ‡ƒ•—”‡‡–• ƒ”‡ „‘–Š †‹ˆˆ‹ —Ž– ƒ† ˜‡”› –‹‡ ‘•—‹‰Ǣ –Š‡”‡ˆ‘”‡ǡ”‡Ž‹ƒ„Ž‡‘†‡Ž•ˆ‘”’”‡†‹ –‹‰—Ž–‹ ‘’‘‡–ƒ†•‘”’–‹‘ˆ”‘•‹‰Ž‡Ǧ ‘’‘‡– ƒ†•‘”’–‹‘ †ƒ–ƒ ƒ”‡ Š‹‰ŠŽ› †‡•‹”ƒ„Ž‡Ǥ Š‡ ‹†‡ƒŽ ƒ†•‘”„‡† •‘Ž—–‹‘ –Š‡‘”› ȋ

(105) Ȍ ‹• ‘‡ •— Š ‘†‡Ž –Šƒ– ‹• ˆ”‡“—‡–Ž› —•‡† ˆ‘” ’”‡†‹ –‹‰ —Ž–‹ ‘’‘‡–ƒ†•‘”’–‹‘‹œ‡‘Ž‹–‡•Ǥ ii). The ideal adsorbed solution theory (IAST): Š‡

(106)  ‘•–‹–—–‡ ƒ –Š‡”‘†›ƒ‹ ƒŽŽ› ‘•‹•–‡– ‡–Š‘† ˆ‘” ’”‡†‹ –‹‰ ƒ†•‘”’–‹‘ ‡“—‹Ž‹„”‹— ˆ‘” —Ž–‹ ‘’‘‡– ‹š–—”‡• „› ƒ‹‰ —•‡ ‘ˆ –Š‡ •‹‰Ž‡ ‰ƒ• ƒ†•‘”’–‹‘ ‹•‘–Š‡”• ƒ† Šƒ• „‡ ƒ—•‡ ‘ˆ –Š‹• ƒ––”ƒ –‹˜‡ ˆ‡ƒ–—”‡ ‰ƒ‹‡†’‘’—Žƒ”‹–›ǤŠ‡

(107) ™ƒ•†‡˜‡Ž‘’‡†„››‡”•ƒ†”ƒ—•‹–œƒ† ‹•„ƒ•‡†‘–Š”‡‡ƒ••—’–‹‘•ǣ͸͸ 

(108) Ǥ Š‡ —Ž–‹ ‘’‘‡– ‹š–—”‡ „‡Šƒ˜‡• Ž‹‡ ƒ ‹†‡ƒŽ •‘Ž—–‹‘ ȋ‡“—ƒŽ ‡ƒ•–”‡‰–Š‘ˆ‹–‡”ƒ –‹‘„‡–™‡‡–Š‡‘Ž‡ —Ž‡•‹–Š‡•‘Ž—–‹‘Ȍ ƒ– ‘•–ƒ–’”‡••—”‡ƒ†–‡’‡”ƒ–—”‡Ǥ

(109)

(110) Ǥ Š‡•—”ˆƒ ‡ƒ”‡ƒƒ˜ƒ‹Žƒ„Ž‡ˆ‘”ƒŽŽƒ†•‘”„ƒ–‡•‹•–Š‡•ƒ‡Ǥ ͳͳ.

(111)

(112)

(113)

(114) Ǥ. †•‘”„‡–‹•‹‡”–Ǥ. Š‡

(115)  Šƒ• „‡‡ ’”‘˜‡ –‘ ƒ —”ƒ–‡Ž› †‡• ”‹„‡ –Š‡ —Ž–‹ ‘’‘‡– ƒ†•‘”’–‹‘ „‡Šƒ˜‹‘” ˆ‘” ƒ› ƒ†•‘”„ƒ–‡• ‹ œ‡‘Ž‹–‡•ǡ ‡•’‡ ‹ƒŽŽ› ˆ‘” •ƒŽŽ ƒ† ™‡ƒŽ› ‹–‡”ƒ –‹‰ •’‡ ‹‡•Ǥ͸͹Ǧ͸ͺ ‘™‡˜‡”ǡ ˆ‘” •–”‘‰Ž› ‹–‡”ƒ –‹‰ ‹š–—”‡• ‡Ǥ‰Ǥ Š›†”‘‰‡Ǧ„‘†‹‰ ƒ†•‘”„ƒ–‡• ‘” ™Š‡ ’ƒ ‹‰ ‡ˆˆ‡ – ‰‡–• ‹’‘”–ƒ–ǡ –Š‡

(116)  ˆ”‡“—‡–Ž›ˆƒ‹Ž•‹’”‡†‹ –‹‰–Š‡ƒ‘—–ƒ†•‘”„‡†Ǥ͸ͻǦ͹Ͳ 

(117)  –Š‹• ™‘”ǡ –Š‡

(118) †‡ƒŽ ƒ†•‘”„‡† •‘Ž—–‹‘ –Š‡‘”› ™ƒ• —•‡† ˆ‘” ’”‡†‹ –‹‰ –Š‡ ƒ‘—– ‘ˆ ƒ†•‘”„‡† ™ƒ–‡”ǡ ‡–Šƒ‡ ƒ† ƒ”„‘ †‹‘š‹†‡ ˆ”‘ ‰ƒ• ‹š–—”‡• ƒ† –Š‡•‡ ’”‡†‹ –‹‘• ™‡”‡ ‘’ƒ”‡† –‘ ‡š’‡”‹‡–ƒŽŽ› †‡–‡”‹‡† ƒ†•‘”„‡† ‘ ‡–”ƒ–‹‘• –‘ –‡•– –Š‡ ƒ’’Ž‹ ƒ„‹Ž‹–› ‘ˆ

(119)  –‘ –Š‡ ǦͷȀ‡–Šƒ‡Ȁ ƒ”„‘ †‹‘š‹†‡Ȁ™ƒ–‡”•›•–‡Ǥ     . ͳʹ. .

(120) 1.3. Scopeofthepresentwork Š‡• ‘’‡‘ˆ–Š‡’”‡•‡–™‘”™ƒ•–‘•–—†›ƒ†•‘”’–‹‘‘ˆ„—–ƒ‘Žƒ†™ƒ–‡”‹ •‹Ž‹ ƒŽ‹–‡Ǧͳˆ‹Ž•ƒ–†‹ˆˆ‡”‡––‡’‡”ƒ–—”‡•ƒ†–‘‡š–”ƒ –“—ƒ–‹–ƒ–‹˜‡ƒ†•‘”’–‹‘ †ƒ–ƒǡ‹–Š‡ˆ‘”‘ˆƒ‰—‹”ƒ†‹’•’ƒ”ƒ‡–‡”•ƒ†Š‡ƒ–•‘ˆƒ†•‘”’–‹‘ǡ—•‡ˆ—Ž ˆ‘” ‡˜ƒŽ—ƒ–‹‰ –Š‡ ’‡”ˆ‘”ƒ ‡ ‘ˆ •‹Ž‹ ƒŽ‹–‡Ǧͳ ƒ†•‘”„‡–• ƒ† ‡„”ƒ‡•Ǥ

(121)  ’ƒ”–‹ —Žƒ”ǡ–Š‡‡ˆˆ‡ –‘ˆ‹–‡”ƒŽ•–”— –—”ƒŽ†‡ˆ‡ –•‘–Š‡ƒ†•‘”’–‹‘ƒ†„—–ƒ‘Ž ƒ†™ƒ–‡”‹•‹Ž‹ ƒŽ‹–‡Ǧͳˆ‹Ž•™ƒ•–‘„‡‡Ž— ‹†ƒ–‡†Ǥ ‘”‡‘˜‡”ǡ –Š‡ in situ Ǧ 

(122)  ‡–Š‘† ™ƒ• —•‡† –‘ •–—†› —Ž–‹ ‘’‘‡– ƒ†•‘”’–‹‘‘ˆ™ƒ–‡”ǡ‡–Šƒ‡ƒ† ƒ”„‘†‹‘š‹†‡‹Ǧͷœ‡‘Ž‹–‡ǤŠ‡‘„Œ‡ –‹˜‡ ™ƒ• –‘ †‡–‡”‹‡ –Š‡ ƒ†•‘”’–‹‘ •‡Ž‡ –‹˜‹–‹‡• ƒ† –‘ ƒ••‡•• –Š‡ ’‡”ˆ‘”ƒ ‡ ‘ˆ –Š‡

(123) –‘ƒ —”ƒ–‡Ž›’”‡†‹ ––Š‡ƒ†•‘”„‡†ƒ‘—–•†—”‹‰‹š–—”‡ƒ†•‘”’–‹‘Ǥ   . . ͳ͵.

(124) . ͳͶ.

(125) Chapter 2. Theory. 2.1. ATRǦFTIRTechnique ‹†Ǧ

(126) ˆ”ƒ”‡† •’‡ –”‘• ‘’› ȋ

(127) Ȍ ‹• ƒ ”‡Ž‹ƒ„Ž‡ ‡–Š‘† ˆ‘” Šƒ”ƒ –‡”‹œƒ–‹‘ǡ ‹†‡–‹ˆ‹ ƒ–‹‘ƒ†“—ƒ–‹ˆ‹ ƒ–‹‘‘ˆƒ›•—„•–ƒ ‡•Ǥ‡‘ˆ–Š‡ƒ†˜ƒ–ƒ‰‡•‘ˆ

(128)  •’‡ –”‘• ‘’› ‹• –Šƒ– –Š‡ •’‡ –”ƒ ƒ „‡ ‘„–ƒ‹‡† ˆ”‘ ƒ ™‹†‡ ”ƒ‰‡ ‘ˆ •‘Ž‹†•ǡ Ž‹“—‹†•ƒ†‰ƒ•‡•ƒ•Ž‘‰ƒ•–Š‡›ˆ—Žˆ‹ŽŽ–Š‡•‡Ž‡ –‹‘”—Ž‡•ǤȗŠ‡ ‘„‹ƒ–‹‘‘ˆ

(129)  •’‡ –”‘• ‘’›™‹–Š–Š‡–Š‡‘”‹‡•‘ˆ”‡ˆŽ‡ –‹‘Šƒ•’”‘˜‡–‘„‡ƒ’‘™‡”ˆ—Ž‡–Š‘† ˆ‘” •—”ˆƒ ‡ ƒƒŽ›•‹•Ǥ Š”‡‡ •’‡ ‹ˆ‹ 

(130)  ”‡ˆŽ‡ –ƒ ‡ •ƒ’Ž‹‰ –‡ Š‹“—‡• ‡š‹•–ǣ͹ͳ •’‡ —Žƒ” ”‡ˆŽ‡ –ƒ ‡ǡ †‹ˆˆ—•‡ ”‡ˆŽ‡ –ƒ ‡ ƒ† ‹–‡”ƒŽ ”‡ˆŽ‡ –ƒ ‡Ǥ

(131)  –Š‹• ™‘”ǡ AttenuatedTotalReflectionǦFourierTransformInfrared(ATRǦFTIR)Spectroscopyǡ ™Š‹ Š ‹• ƒ ‹–‡”ƒŽ ”‡ˆŽ‡ –‹‘ ‡–Š‘†ǡ ™ƒ• —•‡† –‘ •–—†› –Š‡ ƒ†•‘”’–‹‘ ’”‘’‡”–‹‡•‘ˆ

(132) Ǧ–›’‡œ‡‘Ž‹–‡•Ǥ‹–Š–Š‹•–‡ Š‹“—‡ǡ‹–‹•’‘••‹„Ž‡–‘”‡ ‘”†Š‹‰Š “—ƒŽ‹–› •’‡ –”ƒ ‘ˆ ™‡ŽŽǦ†‡ˆ‹‡† –Š‹ œ‡‘Ž‹–‡ ˆ‹Ž• —†‡” ™‡ŽŽǦ ‘–”‘ŽŽ‡† ‘†‹–‹‘•Ǥ͹ʹǦ͹͵ Š‹•ǡ ‹ ‘„‹ƒ–‹‘ ™‹–Š –Š‡ ƒ„‹Ž‹–› ‘ˆ ‹ˆ”ƒ”‡† •’‡ –”‘• ‘’› –‘ †‹• ”‹‹ƒ–‡ „‡–™‡‡ †‹ˆˆ‡”‡– ‘Ž‡ —Ž‡• ƒ‡• –Š‡ Ǧ 

(133)  –‡ Š‹“—‡ ‹†‡ƒŽ ˆ‘”•–—†›‹‰‡˜‡—Ž–‹ ‘’‘‡–ƒ†•‘”’–‹‘‹œ‡‘Ž‹–‡•Ǥ. 2.1.1. Determinationofadsorbateloadinginthefilm 

(134) Ǧ 

(135) •’‡ –”‘• ‘’›ǡ–Š‡‹ˆ”ƒ”‡†„‡ƒ‹•‹–‡”ƒŽŽ›–‘–ƒŽ”‡ˆŽ‡ –‡†‹ƒ

(136) –”ƒ•’ƒ”‡– ”›•–ƒŽ‘ˆˆ‘”‡šƒ’Ž‡‹ —Žˆ‹†‡ȋȌǡ‹ ‡Ž‡‹†‡ȋ‡Ȍǡ ‹Ž‹ ‘ ‘” ‡”ƒ‹—Ǥ Š‡ ‹ˆ”ƒ”‡† „‡ƒ ƒ› ‹–‡”ƒ – ™‹–Š •ƒ’Ž‡• ‹ Ž‘•‡ ˜‹ ‹‹–› ‘ˆ –Š‡ •—”ˆƒ ‡ ‘ˆ –Š‡  ‡Ž‡‡– •‹ ‡ –Š‡ ‡Ž‡ –”‹  ˆ‹‡Ž† ‘ˆ –Š‡ ‹ˆ”ƒ”‡† ”ƒ†‹ƒ–‹‘ ƒ’‡‡–”ƒ–‡ƒ•Š‘”–†‹•–ƒ ‡‘—–•‹†‡–Š‡‡Ž‡‡–ǤŠ‡†‹•–ƒ ‡™Š‹ Š –Š‡ ‹ˆ”ƒ”‡† „‡ƒ ’”‘„‡• ƒ› „‡ ‡•–‹ƒ–‡† „› –Š‡ ’‡‡–”ƒ–‹‘ †‡’–ŠǤ Š‡ ’‡‡–”ƒ–‹‘ †‡’–Š ‹• †‡ˆ‹‡† ƒ• –Š‡ †‹•–ƒ ‡ ˆ”‘ –Š‡  ”›•–ƒŽ ™Š‡”‡ –Š‡ ‹–‡•‹–› ‘ˆ –Š‡ ‡Ž‡ –”‹  ˆ‹‡Ž† Šƒ• †‡ ”‡ƒ•‡† –‘ ƒ ˜ƒŽ—‡ ‡Ǧͳ ‘ˆ –Šƒ– ƒ– –Š‡  •—”ˆƒ ‡ǤŠ‡’‡‡–”ƒ–‹‘†‡’–Š–›’‹ ƒŽŽ›˜ƒ”‹‡•„‡–™‡‡ƒ ‘—’Ž‡‘ˆŠ—†”‡† –‘ ƒ ‘—’Ž‡ ‘ˆ ρǡ ƒ‹‰ –Š‡  ‡–Š‘† •—‹–ƒ„Ž‡ ˆ‘” •–—†›‹‰ –Š‹ ˆ‹Ž• ƒ† •—”ˆƒ ‡•ǤŠ‡’‡‡–”ƒ–‹‘†‡’–ŠȋdpȌ‹•‰‹˜‡„›ǣ͹͵ dp. O1. ȋͷȌ. 2 12 2S (sin 2 T  n21 ) .  ȗ ‘”†‹‰–‘•‡Ž‡ –‹‘”—Ž‡•ǡ˜‹„”ƒ–‹‘•ƒ”‡‘Ž›

(137) ƒ –‹˜‡‹ˆƒ‘Ž‡ —Žƒ”†‹’‘Ž‡‘‡– Šƒ‰‡•. †—”‹‰–Š‡˜‹„”ƒ–‹‘Ǥ. ͳͷ.

(138) ™Š‡”‡ɉ1‹•–Š‡™ƒ˜‡Ž‡‰–Š‘ˆ–Š‡‹ˆ”ƒ”‡†”ƒ†‹ƒ–‹‘‹•‹†‡–Š‡ ”›•–ƒŽǡn1‹• –Š‡ ”‡ˆ”ƒ –‹˜‡ ‹†‡š ‘ˆ –Š‡  ‡Ž‡‡–ǡ ƒ† ߠ ‹• –Š‡ ƒ‰Ž‡ ‘ˆ ‹ ‹†‡ ‡ ȋͶͷι ‹ –Š‹•™‘”ȌǤ —”–Š‡”ǡn21=n2/n1™Š‡”‡n2 ‹•–Š‡”‡ˆ”ƒ –‹˜‡‹†‡š‘ˆ–Š‡œ‡‘Ž‹–‡ˆ‹Ž ‘˜‡”‹‰–Š‡‡Ž‡‡–Ǥ Š‡‡‡”Ǧƒ„‡”–Žƒ™”‡Žƒ–‡•–Š‡ƒ„•‘”„ƒ ‡‘„•‡”˜‡†‹ƒ‹ˆ”ƒ”‡†•’‡ –”— –‘ –Š‡ ‘ ‡–”ƒ–‹‘ ‘ˆ –Š‡ ƒ†•‘”„ƒ–‡ ‹ –Š‡ •ƒ’Ž‡ ˆ‘” ƒ –”ƒ•‹••‹‘ ‡ƒ•—”‡‡–ǣ͹Ͷ ‫ ܣ‬ൌ Ž‘‰. ‫ܫ‬଴ ൌ ߝ݈ܿ ‫ܫ‬. ȋ͸Ȍ. ™Š‡”‡ I0 ƒ† I ƒ”‡ ‹ ‹†‡– ƒ† –”ƒ•‹––‡† ‹–‡•‹–‹‡• ‘ˆ –Š‡ ‹ˆ”ƒ”‡† „‡ƒ ”‡•’‡ –‹˜‡Ž›ǡ A ‹• –Š‡ ƒ„•‘”„ƒ ‡ǡ ɂ ‹• –Š‡ ‘Žƒ” ƒ„•‘”’–‹˜‹–›ǡ c ‹• –Š‡ ‘ ‡–”ƒ–‹‘‘ˆ–Š‡•ƒ’Ž‡ƒ†l‹•–Š‡’ƒ–ŠŽ‡‰–Š–Š”‘—‰Š–Š‡•ƒ’Ž‡Ǥ ‘™‡˜‡”ǡ –Š‹• ‡“—ƒ–‹‘ ƒ‘– „‡ —•‡† †‹”‡ –Ž› ‹ –Š‡  ‡–Š‘†Ǥ ‘’‹•͹ͷ ƒ† ‹”ƒ„‡ŽŽƒ͹͸ †‡˜‡Ž‘’‡† ƒ ‡–Š‘† –‘ †‡–‡”‹‡ ‘ ‡–”ƒ–‹‘ ‘ˆ •’‡ ‹‡• Ž‘•‡ –‘ –Š‡ ”›•–ƒŽǤŠ‡ƒ„•‘”’–‹‘’‡””‡ˆŽ‡ –‹‘ǡˆ‘”ƒ’ƒ”–‹ —Žƒ”„ƒ†ǡ‹•‰‹˜‡„›ǣ A N. n21E02H cosT. ³. f. 0. C ( z)e. 2 z d p. ȋ͹Ȍ. dz. ™Š‡”‡A‹•–Š‡‹–‡‰”ƒ–‡†ƒ„•‘”„ƒ ‡‘ˆ–Š‡„ƒ†‘ˆ‹–‡”‡•–ǡN‹•–Š‡—„‡”‘ˆ ”‡ˆŽ‡ –‹‘• ‹ –Š‡  ‡Ž‡‡– ȋʹͲ ‹ –Š‹• ™‘”Ȍǡ C(z) ‹• –Š‡ ‘ ‡–”ƒ–‹‘ ‘ˆ ƒ†•‘”„ƒ–‡ ‹ –Š‡ œ‡‘Ž‹–‡ ˆ‹Ž ™Š‹ Š ™ƒ• ƒ••—‡† –‘ „‡ ‘•–ƒ– ‹ –Š‡ ˆ‹Ž ƒ– ‡“—‹Ž‹„”‹— ƒ† œ‡”‘ ‘—–•‹†‡ –Š‡ ˆ‹Ž ȋ‡‰Ž‡ –‹‰ –Š‡ „—Ž ‰ƒ• ‘–”‹„—–‹‘ȌǤ Š‡”‡ˆ‘”‡ǡ ƒˆ–‡” ‹–‡‰”ƒ–‹‰ ‘˜‡” –Š‡ ˆ‹Ž –Š‹ ‡••ǡ –Š‡ ˆ‘ŽŽ‘™‹‰ ‡š’”‡••‹‘ ‹• ‘„–ƒ‹‡†ǣ A N. n21 E02 d p C 2 cos T. H 1 e. 2d a d p.

(139). . ȋͺȌ. ™Š‡”‡da ‹•–Š‡–Š‹ ‡••‘ˆ–Š‡ˆ‹ŽǤ —”–Š‡”ǡ–Š‡†‹•–ƒ ‡”‡“—‹”‡†–‘‘„–ƒ‹–Š‡ •ƒ‡ ƒ„•‘”„ƒ ‡ ‹ ƒ –”ƒ•‹••‹‘ ‡ƒ•—”‡‡– ƒ• ‹ Ǧ 

(140)  ‹• †‡ˆ‹‡† ƒ• ‡ˆˆ‡ –‹˜‡–Š‹ ‡••ǡdeǣ de. n21 E02 d p. ȋͻȌ. 2 cosT . ƒ† de ‹• †‡’‡†‡– ‘ –Š‡ ’‘Žƒ”‹œƒ–‹‘ ‘ˆ –Š‡ ‹ˆ”ƒ”‡† ”ƒ†‹ƒ–‹‘ ƒ† ƒ „‡ ‡•–‹ƒ–‡†ƒ•ǣ. ͳ͸.

References

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