g̎͏Uˮԇо - D - d

MܴȱDLVOՓzwWռзdzҪĵλ

DLVOՓְ֮lFɢwϵ@Ӱ푵һЩDLVOаˮˮҺB͸ʎgλU͏wW

ˮzwӻ࿿raһN̳̳Һwc໥γɵY(cwевͬĘ)lدBaþxӽڷӵֱˮһֻHˮ֮gӱˮ̖xɵˮÁߝ늽|wڵcµķˮÿɲʽ

Uhydratton?Ke?h/? (2-5)

ʽ Uhydraˮ ttKs50000 ˡxs1.15nm

ˮڼ܄ˮgڵһNˮ挦ضϚIKɵˮڼˮе÷80nm䏊hvan de Waalsď

ҺB͸(depletion force)Ǻ΢СzBw(z΢Һ;ۺ)ķɢwϵ࿿ăҺ֮gzBwܽ挦׺ζѷeļsăҺ֮gDraĝB͸ƽһNҺB͸ɽzҺҺB͸aܿʽ

Udepletion??p0VE (2-6)

p0??CMkT (2-7)

??31??M??2??MM?1??M?3 (2-8)

ʽ UdepleҺB͸a tip0zBwaĝB͸ VEҺ֮gҺwwe

CMzBwĔ

MzBwڷɢwϵռЧwe

ʎǸߝzԄҺz໥ăɂҺα֮gaһN΢^YʹҺνӽ^SҺgz׃FһB(ΘOСֵc)

gλӱϵĸ߾ԄӌɢӵһN߾ԄӱϕrеHҺ朲ֿԔUչҺ˴˻P“@ЩP“ayQgλЧăɂЧЧЧЧǮɂgľxСӱӺȵ2r໥دBʹHҺ朰l϶aӵ໥دBʹӾx̎HҺ朵ĝ@aĝB͸ߌwе܄gą^wڃ֮gaųЧǃ໥rӱMҺеĔU朹\ܵʹӵĘ͵՜pɵ@ɷNЧSɢӆλe朵Ĕ͔UҺ朽YLȵ

U͏Һ׃^aҺ׃ҲӰҺg

ҺƉcҺεľۼ;۽YٶֱP˿ɲÜyҺΔĿwe׃ٶ_ҺԵһNVan den TempelSmoluchoskiҺz۳ՓҺJҺķԿҺΔĿSrg׃ʾλweʼҺΔn0Һ^rgt ĿҺΔ׃nʽӋ㣺

n?n0 (2-9)

1?Kfn0t4kT (2-10) 3?cKf?ʽ Kfۼ

kBoltzman cBmճ

DaviesRidealҺҺεƽweSrg׃c۽Y^̵Ą݉PSmoluchoskiĹʽҺεƽweʾһ۽Y݉õĹʽ

Vav?Vav0?4?DRcollision?dropte??Gc/kT (2-11)

D?kT (2-12)

6??cRdropʽ VavrgtrҺεƽwe

Vav0ʼrҺεƽwe DҺεĔUɢϵ RҺΰ돽

R0ײ돽Һΰ돽ăɱ

dropɢҺڷɢwϵռwe Gc۽Y݉

SmoluchoskiDavies֮^һЩs̶Ⱥ;ȲȵĿͬrҺgvan de Waalso늳Brown\ҺΑTҺgh̺ͽwWҺξ۽YӰҎɵĔWģͺⷽһЩrµõӋYcYѷdzӽ

D2-2 Һξ۽Y^

ɂСҺλӽr汻ҺԱ͹ɂҺӽ֮̎ľ̎ҺĤֻҪAڃɂҺ֮gҺw

Һμԓ̎lбԄڵėlɂСҺλ࿿rҺ֮gγD2-2ʾƽҺĤԼҺΉĜyаlFҺεĺϲ΢s|żȻӵS಻_ӰD2-2ʾҺξ۽Y^̿ɷֽҺ໥ӽҺ׃ήaƽҺĤƽҺĤҺ׃һRȕrҺκϲARayleighڼOҺĤƽ̈́ԵǰµóҺĤҺ£

VREʽ VREҺĤҺ hҺĤ

trg

dh2?Fh3 (2-13) ???2dt3?cAwFʹҺĤ໥ A΂ҺĤe

ҺĤˌHҺĤҺٶȺ;۽YʱʽAyĽYö

MalhotraWasan]˱ԄڽÓWԄwͽgķԄڽwеĔUɢ׃ԼwӌҺĤҺӰóһ]ԵҺĤҺ̣

V3?Ne?nh?1?2?AnJ0??n? (2-14) VREhFn?11??nhʽ VҺٶ

VREʽӋҺٶ J0ABesel

nABeselĵn An

ʽʹҺĤ滥࿿FʽӋ㣺

F??PH?PD?Am (2-15)

ʽPHoҺĤϵĤ߅ʶ

ëPHʹҺĤ׃PDШ(disjoining pressure)һNֱچλeҺĤϵ^eҺĤƽȵı揈ЕrҲ Qڶ揈DerjaguinKussakovҎШKҺĤ׃rȡֵҺĤȴ1000?rPD=0ҺĤ׃PHQҺĤС1000?rPD׃@ШԴNһҺĤăɂ늱֮gųPEcӷӿgKPĶ̳̳PS@ɷNKҺĤ׃Ĥ֮gvan de WaalsPAҺĤ׃ШPDɱʾ£

PD?PE?PS?PA (2-16)

PD >0rĤăɱ֮gųռPH = PDrʹҺĤ׃cҺĤ׃˕rҺĤȲ׃ɞһȵāBĤğWǶȿ]СҺкܴKfDzһЩqCеӵȕʹĤʧȥ@NBƽҺĤ

yӋYƽҺĤҪ_һR(100~1000?r)ܰl@Nڟ\ĤăɂaҲ@Nӱvan de WaalsӏʹÃɂ׃ҎtĤĺ׃úܲɲ֮gҺĤ^ɲ֮gҺĤ^ͨҺĤǰlĤ̎RadoevȵóҺĤlѵRhC飺

hC?0.044ʽ hCҺĤѵR

uҺĤ׃ٶ

C15??u25H31015 (2-17)





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