Full text
In e na ional Jou nal o
Molecula Sciences
A icle
In luence o Small Quan i ies o Wa e on he Physical
P ope ies o Alkylammonium Ni a e Ionic Liquids
Da id Ausín1, Juan J. Pa ajó2,3 , JoséL. T enzado 4, Luis M. Va ela 2, Osca Cabeza 1and Luisa Segade 1,*
Ci a ion: Ausín, D.; Pa ajó, J.J.;
T enzado, J.L.; Va ela, L.M.; Cabeza,
O.; Segade, L. In luence o Small
Quan i ies o Wa e on he Physical
P ope ies o Alkylammonium
Ni a e Ionic Liquids. In . J. Mol. Sci.
2021,22, 7334. h ps://doi.o g/
10.3390/ijms22147334
Academic Edi o s: JoséS. U ie a and
Ana M. Maina
Recei ed: 8 June 2021
Accep ed: 2 July 2021
Published: 8 July 2021
Publishe ’s No e: MDPI s ays neu al
wi h ega d o ju isdic ional claims in
published maps and ins i u ional a il-
ia ions.
Copy igh : © 2021 by he au ho s.
Licensee MDPI, Basel, Swi ze land.
This a icle is an open access a icle
dis ibu ed unde he e ms and
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A ibu ion (CC BY) license (h ps://
c ea i ecommons.o g/licenses/by/
4.0/).
1Depa amen o de Física, Facul ade de Ciencias, Campus da Zapa ei a, Uni e sidade da Co uña,
15071 A Co uña, Spain; [email p o ec ed] (D.A.); osca [email p o ec ed] (O.C.)
2
G upo de Nanoma e iais, Fo ónica e Ma e ia B anda, Depa amen o de Física de Pa ículas y Depa amen o
de Física Aplicada, Uni e sidade de San iago de Compos ela, Campus Vida s/n,
15782 San iago de Compos ela, Spain; [email p o ec ed] (J.J.P.); [email p o ec ed] (L.M.V.)
3Depa amen o de Química e Bioquímica, CIQUP-Cen o de In es igaçao em Química da Uni e sidade do
Po o, Uni e sidade do Po o, P-4169-007 Po o, Po ugal
4
Depa amen o de Física, Uni e sidad de Las Palmas de G an Cana ia, 35017 Las Palmas G an Cana ia, Spain;
[email p o ec ed]
*Co espondence: [email p o ec ed]; Tel.: +34-981167000
Abs ac :
This pape p esen s a comp ehensi e s udy o wo alkylammonium ni a e ionic liquids.
As pa o his amily o ma e ials, mainly e hylammonium ni a e (EAN) and also p opylammo-
nium ni a e (PAN) ha e a ac ed a g ea deal o a en ion du ing he las decades due o hei
po en ial applica ions in many ields. Al hough he e ha e been nume ous publica ions ocused
on he measu emen o hei physical p ope ies, a g ea dispe sion can be obse ed in he esul s
ob ained o he same magni ude. One o he c i ical poin s o be aken in o accoun in hei physical
cha ac e iza ion is hei wa e con en . Thus, he main objec i e o his wo k was o de e mine he
deg ee o in luence o he p esence o small quan i ies o wa e in EAN and PAN on he measu emen
o densi y, iscosi y, elec ical conduc i i y, e ac i e index and su ace ension. Fo his pu pose,
he i s h ee p ope ies we e de e mined in samples o EAN and PAN wi h wa e con en s below
30,000 ppm in a wide ange o empe a u es, be ween 5 and 95
◦
C, while he las wo we e ob ained
a 25
◦
C. As a esul o his s udy, i has been concluded ha he p esence o wa e is c i ical in hose
physical p ope ies ha in ol e mass o cha ge anspo p ocesses, esul ing in he inding ha he
absolu e alue o he a e age pe cen age change in bo h iscosi y and elec ical conduc i i y is abo e
40%. Meanwhile, e ac i e index (
≤
0.3%), densi y (
≤
0.5%) and su ace ension (
≤
2%) p esen much
less signi ican changes.
Keywo ds:
ionic liquid; e hylammonium ni a e; p opylammonium ni a e; wa e - ee; densi y;
iscosi y; elec ical conduc i i y; e ac i e index; su ace ension
1. In oduc ion
Du ing he las decades, he s udy o ionic liquids (ILs) has a oused eno mous in-
e es in he scien i ic communi y because o hei ex ao dina y physical p ope ies and
e sa ili y, which ha e made hem wo hy o becoming a ue ield o esea ch [
1
]. The
main ea u e ha made hem a ac i e is ha hey can be ailo -made by combining he
ca ions and anions o which hey can be composed, ob aining a g ea a ie y o ILs wi h
e y di e en p ope ies and applica ions.
A e a couple o decades o ex ensi e de elopmen in he s udy o he po en ial uses
o ILs, hei applica ions a e now a eali y in many b anches o science and indus y. Thus,
hei uses ha e been demons a ed in a wide ange o a eas o analy ical chemis y [
2
],
o ganic chemis y [
3
,
4
], elec ochemical con e sion and ene gy s o age [
5
], biosensing
echnology [
6
], pha maceu ical and biomedical indus y [
7
,
8
] o eco e y o indus ial
sol en s [
9
,
10
], o name bu a ew. In his con ex , he cha ac e iza ion o hese ma e i-
In . J. Mol. Sci. 2021,22, 7334. h ps://doi.o g/10.3390/ijms22147334 h ps://www.mdpi.com/jou nal/ijms
In . J. Mol. Sci. 2021,22, 7334 2 o 15
als h ough expe imen al, heo e ical o compu a ional me hods plays a decisi e ole o
p omo e hei indus ial applica ions [11].
In his wo k, we con inue wi h he expe imen al s udy o ILs o which ou g oups
ha e been de o ed in he pas yea s [12–14], and speci ically, we ocus on one o ou lines
o wo k dedica ed o p o ic ionic liquids (PILs) [
15
,
16
], he use ulness o which has been
widely es ed. Wi hin his class o ma e ials, wo ep esen a i es o he amily o alkylam-
monium ni a es, e hylammonium ni a e (EAN) and p opylammonium ni a e (PAN),
ha e a ac ed g ea a en ion as a esul o hei mul iple applica ions. Many examples
o hem can be ound in ields as di e se as elec odeposi ion, elec ochemical ex olia ion,
liquid–liquid ex ac ion, o ganic o ino ganic syn hesis, bioca alysis, lub ica ion o biologi-
cal medium sol en s, among o he s [
17
,
18
]. Mo e ecen wo ks ha e al eady explo ed hei
u ili y as componen s o sma ma e ials [
19
], in hyd ogen so p ion p ocesses [
20
], in he -
moelec ic gene a o de ices [
21
] o in s udies on he s uc u al s abili y and agg ega ion
s a e o p o eins [
22
]. In gene al, EAN and PAN ha e been he subjec o many s udies,
epo ed in mo e han 700 bibliog aphic e e ences (SciFinde n da abase), as can be seen in
Figu e 1. A la ge pa o hese e e ences has been de o ed o explo ing he uses o hese
compounds, while app oxima ely hal o hem ha e ocused on he de e mina ion o hei
physicochemical p ope ies.
In . J. Mol. Sci. 2021, 22, x FOR PEER REVIEW 2 o 15
h ough expe imen al, heo e ical o compu a ional me hods plays a decisi e ole o p o-
mo e hei indus ial applica ions [11].
In his wo k, we con inue wi h he expe imen al s udy o ILs o which ou g oups
ha e been de o ed in he pas yea s [12–14], and speci ically, we ocus on one o ou lines
o wo k dedica ed o p o ic ionic liquids (PILs) [15,16], he use ulness o which has been
widely es ed. Wi hin his class o ma e ials, wo ep esen a i es o he amily o al-
kylammonium ni a es, e hylammonium ni a e (EAN) and p opylammonium ni a e
(PAN), ha e a ac ed g ea a en ion as a esul o hei mul iple applica ions. Many ex-
amples o hem can be ound in ields as di e se as elec odeposi ion, elec ochemical ex-
olia ion, liquid–liquid ex ac ion, o ganic o ino ganic syn hesis, bioca alysis, lub ica ion
o biological medium sol en s, among o he s [17,18]. Mo e ecen wo ks ha e al eady ex-
plo ed hei u ili y as componen s o sma ma e ials [19], in hyd ogen so p ion p ocesses
[20], in he moelec ic gene a o de ices [21] o in s udies on he s uc u al s abili y and
agg ega ion s a e o p o eins [22]. In gene al, EAN and PAN ha e been he subjec o many
s udies, epo ed in mo e han 700 bibliog aphic e e ences (SciFinde n da abase), as can
be seen in Figu e 1. A la ge pa o hese e e ences has been de o ed o explo ing he uses
o hese compounds, while app oxima ely hal o hem ha e ocused on he de e mina ion
o hei physicochemical p ope ies.
Figu e 1. Inc ease in he numbe o bibliog aphic e e ences ela ed o EAN and PAN om hei
disco e y o nowadays (SciFinde n da abase).
Conside ing ha a ho ough and accu a e cha ac e iza ion o hese ma e ials has a
di ec impac on he knowledge o hei s uc u e and in he design o hei po en ial ap-
plica ions, we ha e pe o med an exhaus i e compila ion o some o he mos ele an
physical p ope ies. Thus, we ha e e iewed he s a e o he a o densi y, iscosi y, elec-
ical conduc i i y, e ac i e index and su ace ension o EAN and PAN a di e en
empe a u es [23–89].
These p ope ies enable us o an icipa e he sui abili y o an IL in some applica ions.
Fo ins ance, densi y and e ac i e index a e wo ema kably in e es ing pa ame e s be-
cause, besides being use ul o iden i y a subs ance, hey allow ob aining o he in o ma ion
such as ionic conduc i i ies o elec onic pola izabili ies, espec i ely. Viscosi y could be
ela ed o ex ac ion p ocesses, ei he acili a ing dispe sion (low iscosi y) o by a oiding
losses (high iscosi y) [2]. In he case o ba e ies o elec ochemical sensing sys ems, i is
essen ial in o ma ion o know he mal s abili y, elec ochemical s abili y, elec ical con-
duc i i y and iscosi y [5]. O he s udies ha ha e analyzed he abili y o ce ain ILs o
ac as su ac an s ha e made use o he in o ma ion p o ided by su ace ension da a, wi h
he aim o de eloping d ug deli e y sys ems [8]. In all cases, i mus be aken in o accoun
ha he p ope ies end o depend on empe a u e, especially hose ela ed o mass o
0
10
20
30
40
50
60
1914
1946
1950
1953
1969
1978
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
2012
2014
2016
2018
2020
NUMBER OF REFERENCES
YEAR
EAN PAN
Figu e 1.
Inc ease in he numbe o bibliog aphic e e ences ela ed o EAN and PAN om hei
disco e y o nowadays (SciFinde nda abase).
Conside ing ha a ho ough and accu a e cha ac e iza ion o hese ma e ials has
a di ec impac on he knowledge o hei s uc u e and in he design o hei po en ial
applica ions, we ha e pe o med an exhaus i e compila ion o some o he mos ele an
physical p ope ies. Thus, we ha e e iewed he s a e o he a o densi y, iscosi y,
elec ical conduc i i y, e ac i e index and su ace ension o EAN and PAN a di e en
empe a u es [23–89].
These p ope ies enable us o an icipa e he sui abili y o an IL in some applica ions.
Fo ins ance, densi y and e ac i e index a e wo ema kably in e es ing pa ame e s be-
cause, besides being use ul o iden i y a subs ance, hey allow ob aining o he in o ma ion
such as ionic conduc i i ies o elec onic pola izabili ies, espec i ely. Viscosi y could be
ela ed o ex ac ion p ocesses, ei he acili a ing dispe sion (low iscosi y) o by a oiding
losses (high iscosi y) [
2
]. In he case o ba e ies o elec ochemical sensing sys ems,
i is essen ial in o ma ion o know he mal s abili y, elec ochemical s abili y, elec ical
conduc i i y and iscosi y [
5
]. O he s udies ha ha e analyzed he abili y o ce ain ILs
o ac as su ac an s ha e made use o he in o ma ion p o ided by su ace ension da a,
wi h he aim o de eloping d ug deli e y sys ems [
8
]. In all cases, i mus be aken in o
accoun ha he p ope ies end o depend on empe a u e, especially hose ela ed o mass
o cha ge anspo , which could limi hei applica ions, i being necessa y o ha e s udies
ha es ablish his dependence.
In . J. Mol. Sci. 2021,22, 7334 3 o 15
The a o emen ioned highligh s he ac ha , in o de o p ope ly design a p ocess,
he sys ema ic and p ecise measu emen o physicochemical p ope ies is o he u mos
impo ance. Despi e his, we ha e ound ha he published esul s o a gi en p ope y
a he same empe a u e a y e y signi ican ly. Acco ding o all he da a ga he ed in
he li e a u e, i could be assumed ha wa e abso p ion om he a mosphe e is one
o he main easons o he dispe sion obse ed o a gi en p ope y and empe a u e,
since he wo ILs s udied he e a e hyg oscopic subs ances, as a e many ILs [
90
]. As a
ep esen a i e case, p e iously published densi ies (
ρ
) o EAN measu ed a 25
◦
C a e
p esen ed in
Figu e 2
, along wi h he expe imen al densi ies s udied he e. In his igu e,
he p ope y as a unc ion o he wa e con en (w) accu a ely epo ed in he pape s is
ep esen ed using solid symbols, and wi h open ones i i was no .
In . J. Mol. Sci. 2021, 22, x FOR PEER REVIEW 3 o 15
cha ge anspo , which could limi hei applica ions, i being necessa y o ha e s udies
ha es ablish his dependence.
The a o emen ioned highligh s he ac ha , in o de o p ope ly design a p ocess,
he sys ema ic and p ecise measu emen o physicochemical p ope ies is o he u mos
impo ance. Despi e his, we ha e ound ha he published esul s o a gi en p ope y a
he same empe a u e a y e y signi ican ly. Acco ding o all he da a ga he ed in he
li e a u e, i could be assumed ha wa e abso p ion om he a mosphe e is one o he
main easons o he dispe sion obse ed o a gi en p ope y and empe a u e, since he
wo ILs s udied he e a e hyg oscopic subs ances, as a e many ILs [90]. As a ep esen a i e
case, p e iously published densi ies (ρ) o EAN measu ed a 25 °C a e p esen ed in Figu e
2, along wi h he expe imen al densi ies s udied he e. In his igu e, he p ope y as a
unc ion o he wa e con en (w) accu a ely epo ed in he pape s is ep esen ed using
solid symbols, and wi h open ones i i was no .
Figu e 2. Expe imen al and published densi ies, ρ, o EAN as a unc ion o he wa e con en , w, a
25 °C. Symbols: p esen wo k (black solid iangles) and a compila ion o hose published da a wi h
an accu a e measu e o wa e con en (solid) o no (open): [15] ( ed squa es), [23] (g een do s), [24]
(yellow do s), [27] (o ange do s), [28] (cyan do s), [29] ( ed do s), [32] (pink do s), [36] (g ey do s),
[41] (da k g een do s), [46] (b own do s), [48] (blue do s), [52] (da k ed do s), [58] (pu ple do s), [60]
(g een squa es), [65] (yellow squa es), [67] (o ange squa es), [70] (cyan squa es), [71] (pink squa es),
[75] (g ey squa es), [76] (da k g een squa es), [77] (b own squa es), [81] (blue squa es), [82] (da k
ed squa es), [85] (pu ple squa es), [86] (g een hombs), [87] (cyan hombs) and [89] (o ange
hombs).
In iew o he esul s, i seems c i ical o con ol and de e mine he wa e con en i
an accu a e cha ac e iza ion is o be made. Fo his eason, in his wo k we ha e p oposed
as an objec i e o s udy sys ema ically he in luence o he con en o small quan i ies o
wa e ( om abou 300 o 30,000 ppm) in EAN and PAN on he measu emen o densi y,
Figu e 2.
Expe imen al and published densi ies,
ρ
, o EAN as a unc ion o he wa e con en , w, a
25
◦
C. Symbols: p esen wo k (black solid iangles) and a compila ion o hose published da a wi h
an accu a e measu e o wa e con en (solid) o no (open): [
15
] ( ed squa es), [
23
] (g een do s), [
24
]
(yellow do s), [
27
] (o ange do s), [
28
] (cyan do s), [
29
] ( ed do s), [
32
] (pink do s), [
36
] (g ey do s), [
41
]
(da k g een do s), [
46
] (b own do s), [
48
] (blue do s), [
52
] (da k ed do s), [
58
] (pu ple do s), [
60
] (g een
squa es), [
65
] (yellow squa es), [
67
] (o ange squa es), [
70
] (cyan squa es), [
71
] (pink squa es), [
75
]
(g ey squa es), [
76
] (da k g een squa es), [
77
] (b own squa es), [
81
] (blue squa es), [
82
] (da k ed
squa es), [85] (pu ple squa es), [86] (g een hombs), [87] (cyan hombs) and [89] (o ange hombs).
In iew o he esul s, i seems c i ical o con ol and de e mine he wa e con en i an
accu a e cha ac e iza ion is o be made. Fo his eason, in his wo k we ha e p oposed
as an objec i e o s udy sys ema ically he in luence o he con en o small quan i ies o
wa e ( om abou 300 o 30,000 ppm) in EAN and PAN on he measu emen o densi y,
iscosi y and elec ical conduc i i y om 5 o 95
◦
C, and he e ac i e index and su ace
ension a 25
◦
C. To ou knowledge, his comp ehensi e s udy o EAN and PAN has no
been ca ied ou o e such a wide empe a u e ange wi h a s ic con ol o wa e con en .
In . J. Mol. Sci. 2021,22, 7334 4 o 15
2. Resul s
The cha ac e iza ion o EAN and PAN in ol es he measu emen o physical p ope -
ies co e ing a wide ange o empe a u es, be ween 5 and 95
◦
C, when possible. This was
he case o densi y, iscosi y and elec ical conduc i i y, which we e measu ed e e y 5
◦
C
o he i s wo and 10
◦
C o he la e . Thus, Figu e 3a,b shows he esul s ob ained o
he densi y o EAN and PAN as a unc ion o he wa e con en , espec i ely. In he same
way, Figu e 4a,b and Figu e 5a,b display he expe imen al esul s o iscosi y (on a semi
loga i hmic scale) and elec ical conduc i i y. Finally, he e ac i e index and su ace en-
sion a 25
◦
C o bo h LIs a e plo ed in Figu e 6. As can be seen, all he physical p ope ies
s udied depend linea ly on he composi ion in he concen a ion ange s udied, wi h he
excep ion o he e ac i e index o EAN and he iscosi y o PAN, whose ela ionship is
be e i ed h ough a polynomial o deg ee 2.
All he expe imen al esul s ob ained a e shown in Tables S1–S5 in he Suppo ing
Ma e ials sec ion. In all cases, he da a we e i ed o an equa ion o he ype:
Q=QIL +
N
∑
i=1
Aiwi, (1)
whe e Q is he p ope y s udied (
ρ
,
η
,
κ
, n
D
o
σ
) o he IL a a gi en empe a u e and
con en in wa e (w), Q
IL
is he co esponding p ope y o he IL wi hou any wa e con en
(
ρIL
,
ηIL
,
κIL
, n
D,IL
o
σIL
) and Q
IL
and A
i
a e i ing pa ame e s. All he bes alues o he
i ing pa ame e s, Q
IL
and A
i
, oge he wi h he coe icien o de e mina ions, a e shown
in Tables 1–4.
In . J. Mol. Sci. 2021, 22, x FOR PEER REVIEW 4 o 15
iscosi y and elec ical conduc i i y om 5 o 95 °C, and he e ac i e index and su ace
ension a 25 °C. To ou knowledge, his comp ehensi e s udy o EAN and PAN has no
been ca ied ou o e such a wide empe a u e ange wi h a s ic con ol o wa e con en .
2. Resul s
The cha ac e iza ion o EAN and PAN in ol es he measu emen o physical p op-
e ies co e ing a wide ange o empe a u es, be ween 5 and 95 °C, when possible. This
was he case o densi y, iscosi y and elec ical conduc i i y, which we e measu ed e e y
5 °C o he i s wo and 10 °C o he la e . Thus, Figu e 3a,b shows he esul s ob ained
o he densi y o EAN and PAN as a unc ion o he wa e con en , espec i ely. In he
same way, Figu es 4a,b and 5a,b display he expe imen al esul s o iscosi y (on a semi
loga i hmic scale) and elec ical conduc i i y. Finally, he e ac i e index and su ace en-
sion a 25 °C o bo h LIs a e plo ed in Figu e 6. As can be seen, all he physical p ope ies
s udied depend linea ly on he composi ion in he concen a ion ange s udied, wi h he
excep ion o he e ac i e index o EAN and he iscosi y o PAN, whose ela ionship is
be e i ed h ough a polynomial o deg ee 2.
(a) (b)
Figu e 3. Densi ies, ρ, o EAN (a) and PAN (b) as a unc ion o he wa e con en , w, o he empe a u es s udied: 5 (g een
do s), 10 (g een squa es), 15 (da k g een do s), 20 (da k g een squa es), 25 (black do s), 30 (cyan squa es), 35 (cyan do s),
40 (blue squa es), 45 (blue do s), 50 (g ey squa es), 55 (g ey do s), 60 (o ange squa es), 65 (o ange do s), 70 ( ed squa es),
75 ( ed do s), 80 (pink squa es), 85 (pink do s), 90 (pu ple squa es) and 95 °C (pu ple do s). Solid lines we e ob ained om
Equa ion (1).
Figu e 3.
Densi ies,
ρ
, o EAN (
a
) and PAN (
b
) as a unc ion o he wa e con en , w, o he empe a u es s udied: 5 (g een
do s), 10 (g een squa es), 15 (da k g een do s), 20 (da k g een squa es), 25 (black do s), 30 (cyan squa es), 35 (cyan do s), 40
(blue squa es), 45 (blue do s), 50 (g ey squa es), 55 (g ey do s), 60 (o ange squa es), 65 (o ange do s), 70 ( ed squa es), 75
( ed do s), 80 (pink squa es), 85 (pink do s), 90 (pu ple squa es) and 95
◦
C (pu ple do s). Solid lines we e ob ained om
Equa ion (1).
In . J. Mol. Sci. 2021,22, 7334 5 o 15
In . J. Mol. Sci. 2021, 22, x FOR PEER REVIEW 5 o 15
(a) (b)
Figu e 4. Viscosi ies, η, o EAN (a) and PAN (b) as a unc ion o he wa e con en , w, on a semi loga i hmic scale o he
empe a u es s udied: 5 (g een do s), 10 (g een squa es), 15 (da k g een do s), 20 (da k g een squa es), 25 (black do s), 30
(cyan squa es), 35 (cyan do s), 40 (blue squa es), 45 (blue do s), 50 (g ey squa es), 55 (g ey do s), 60 (o ange squa es), 65
(o ange do s), 70 ( ed squa es), 75 ( ed do s), 80 (pink squa es), 85 (pink do s), 90 (pu ple squa es) and 95 °C (pu ple do s).
Solid lines we e ob ained om Equa ion (1).
(a) (b)
Figu e 5. Elec ical conduc i i ies, κ, o EAN (a) and PAN (b) as a unc ion o he wa e con en , w, o he empe a u es
s udied: 5 (g een do s), 15 (da k g een do s), 25 (black do s), 35 (cyan do s), 45 (blue do s), 55 (g ey do s), 65 (o ange do s),
75 ( ed do s), 85 (pink do s) and 95 °C (pu ple do s). Solid lines we e ob ained om Equa ion (1).
Figu e 4.
Viscosi ies,
η
, o EAN (
a
) and PAN (
b
) as a unc ion o he wa e con en , w, on a semi loga i hmic scale o he
empe a u es s udied: 5 (g een do s), 10 (g een squa es), 15 (da k g een do s), 20 (da k g een squa es), 25 (black do s), 30
(cyan squa es), 35 (cyan do s), 40 (blue squa es), 45 (blue do s), 50 (g ey squa es), 55 (g ey do s), 60 (o ange squa es), 65
(o ange do s), 70 ( ed squa es), 75 ( ed do s), 80 (pink squa es), 85 (pink do s), 90 (pu ple squa es) and 95
◦
C (pu ple do s).
Solid lines we e ob ained om Equa ion (1).
In . J. Mol. Sci. 2021, 22, x FOR PEER REVIEW 5 o 15
(a) (b)
Figu e 4. Viscosi ies, η, o EAN (a) and PAN (b) as a unc ion o he wa e con en , w, on a semi loga i hmic scale o he
empe a u es s udied: 5 (g een do s), 10 (g een squa es), 15 (da k g een do s), 20 (da k g een squa es), 25 (black do s), 30
(cyan squa es), 35 (cyan do s), 40 (blue squa es), 45 (blue do s), 50 (g ey squa es), 55 (g ey do s), 60 (o ange squa es), 65
(o ange do s), 70 ( ed squa es), 75 ( ed do s), 80 (pink squa es), 85 (pink do s), 90 (pu ple squa es) and 95 °C (pu ple do s).
Solid lines we e ob ained om Equa ion (1).
(a) (b)
Figu e 5. Elec ical conduc i i ies, κ, o EAN (a) and PAN (b) as a unc ion o he wa e con en , w, o he empe a u es
s udied: 5 (g een do s), 15 (da k g een do s), 25 (black do s), 35 (cyan do s), 45 (blue do s), 55 (g ey do s), 65 (o ange do s),
75 ( ed do s), 85 (pink do s) and 95 °C (pu ple do s). Solid lines we e ob ained om Equa ion (1).
Figu e 5.
Elec ical conduc i i ies,
κ
, o EAN (
a
) and PAN (
b
) as a unc ion o he wa e con en , w, o he empe a u es
s udied: 5 (g een do s), 15 (da k g een do s), 25 (black do s), 35 (cyan do s), 45 (blue do s), 55 (g ey do s), 65 (o ange do s),
75 ( ed do s), 85 (pink do s) and 95 ◦C (pu ple do s). Solid lines we e ob ained om Equa ion (1).
In . J. Mol. Sci. 2021,22, 7334 6 o 15
In . J. Mol. Sci. 2021, 22, x FOR PEER REVIEW 6 o 15
Figu e 6. Re ac i e index, n
D
(do s), and su ace ension, σ (squa es), o EAN (solid symbols) and
PAN (open symbols) as a unc ion o he wa e con en , w, a 25 °C. Solid lines we e ob ained om
Equa ion (1).
All he expe imen al esul s ob ained a e shown in Tables S1–S5 in he Suppo ing
Ma e ials sec ion. In all cases, he da a we e i ed o an equa ion o he ype:
Q=Q+∑Aw
, (1)
whe e Q is he p ope y s udied (ρ, η, κ, n
D
o σ) o he IL a a gi en empe a u e and
con en in wa e (w), Q
IL
is he co esponding p ope y o he IL wi hou any wa e con en
(ρ
IL
, η
IL
, κ
IL
, n
D,IL
o σ
IL
) and Q
IL
and A
i
a e i ing pa ame e s. All he bes alues o he
i ing pa ame e s, Q
IL
and A
i
, oge he wi h he coe icien o de e mina ions, a e shown
in Tables 1–4.
Table 1. Fi ing Equa ion (1) o densi y da a (g·cm
−3
) o EAN and PAN as a unc ion o wa e con en (ppm): pa ame e s
and coe icien o de e mina ion R
2
.
EAN PAN
T (°C) ρ
IL
A
1
(10
7
) R
2
ρ
IL
A
1
(10
7
) R
2
5 1.2234 −1.4448 0.9963 1.1639 −0.66515 0.9941
10 1.2202 −1.4610 0.9971 1.1608 −0.67382 0.9941
15 1.2171 −1.4745 0.9988 1.1577 −0.70588 0.9958
20 1.2140 −1.5136 0.9939 1.1546 −0.73063 0.9913
25 1.2108 −1.5354 0.9989 1.1516 −0.76511 0.9945
30 1.2077 −1.5516 0.9978 1.1485 −0.79664 0.9938
35 1.2046 −1.5800 0.9934 1.1456 −0.83059 0.9926
40 1.2016 −1.6151 0.9988 1.1425 −0.83760 0.9920
45 1.1986 −1.6151 0.9988 1.1396 −0.89210 0.9908
50 1.1956 −1.6805 0.9977 1.1366 −0.90778 0.9920
55 1.1927 −1.6700 0.9944 1.1337 −0.96657 0.9944
60 1.1898 −1.6959 0.9969 1.1309 −1.0122 0.9956
65 1.1869 −1.7551 0.9947 1.1279 −1.0033 0.9986
70 1.1840 −1.7654 0.9913 1.1250 −1.0411 0.9980
75 1.1812 −1.8331 0.9907 1.1222 −1.0732 0.9995
80 1.1783 −1.8467 0.9922 1.1193 −1.0732 0.9995
Figu e 6.
Re ac i e index, n
D
(do s), and su ace ension,
σ
(squa es), o EAN (solid symbols) and
PAN (open symbols) as a unc ion o he wa e con en , w, a 25
◦
C. Solid lines we e ob ained om
Equa ion (1).
Table 1.
Fi ing Equa ion (1) o densi y da a (g
·
cm
−3
) o EAN and PAN as a unc ion o wa e con en
(ppm): pa ame e s and coe icien o de e mina ion R2.
EAN PAN
T (◦C) ρIL A1(107) R2ρIL A1(107) R2
5 1.2234 −1.4448 0.9963 1.1639 −0.66515 0.9941
10 1.2202 −1.4610 0.9971 1.1608 −0.67382 0.9941
15 1.2171 −1.4745 0.9988 1.1577 −0.70588 0.9958
20 1.2140 −1.5136 0.9939 1.1546 −0.73063 0.9913
25 1.2108 −1.5354 0.9989 1.1516 −0.76511 0.9945
30 1.2077 −1.5516 0.9978 1.1485 −0.79664 0.9938
35 1.2046 −1.5800 0.9934 1.1456 −0.83059 0.9926
40 1.2016 −1.6151 0.9988 1.1425 −0.83760 0.9920
45 1.1986 −1.6151 0.9988 1.1396 −0.89210 0.9908
50 1.1956 −1.6805 0.9977 1.1366 −0.90778 0.9920
55 1.1927 −1.6700 0.9944 1.1337 −0.96657 0.9944
60 1.1898 −1.6959 0.9969 1.1309 −1.0122 0.9956
65 1.1869 −1.7551 0.9947 1.1279 −1.0033 0.9986
70 1.1840 −1.7654 0.9913 1.1250 −1.0411 0.9980
75 1.1812 −1.8331 0.9907 1.1222 −1.0732 0.9995
80 1.1783 −1.8467 0.9922 1.1193 −1.0732 0.9995
85 1.1755 −1.8688 0.9945 1.1164 −1.1194 0.9981
90 1.1727 −1.9341 0.9969 1.1136 −1.1428 0.9953
95 1.1699 −1.9799 0.9954 1.1106 −1.1107 0.9927
In . J. Mol. Sci. 2021,22, 7334 7 o 15
Table 2.
Fi ing Equa ion (1) o iscosi y da a (mPa
·
s) o EAN and PAN as a unc ion o wa e con en
(ppm): pa ame e s o Equa ion (1) and coe icien o de e mina ion R2.
EAN PAN
T (◦C) ηIL A1(104) R2ηIL A1(104) A2(109) R2
5 86.5 −15.60 0.9981 201.6 −57.29 70.74 0.9990
10 69.3 −12.10 0.9983 153.7 −41.82 50.26 0.9990
15 56.3 −9.517 0.9983 119.7 −31.40 37.31 0.9989
20 46.3 −7.504 0.9984 94.8 −23.98 28.02 0.9989
25 38.7 −6.084 0.9982 76.3 −18.51 21.00 0.9988
30 32.7 −4.960 0.9989 62.3 −14.56 16.29 0.9988
35 27.9 −4.125 0.9985 51.6 −11.64 12.83 0.9987
40 24.05 −3.439 0.9987 43.2 −9.434 10.30 0.9984
45 20.92 −2.901 0.9987 36.5 −7.642 8.041 0.9987
50 18.33 −2.468 0.9987 31.2 −6.293 6.465 0.9986
55 16.19 −2.120 0.9989 26.9 −5.220 5.206 0.9983
60 14.40 −1.832 0.9989 23.39 −4.362 4.224 0.9982
65 12.88 −1.600 0.9989 20.56 −3.748 3.623 0.9989
70 11.59 −1.405 0.9990 18.15 −3.191 2.991 0.9991
75 10.48 −1.239 0.9988 16.11 −2.722 2.455 0.9993
80 9.53 −1.094 0.9987 14.40 −2.340 2.026 0.9995
85 8.69 −0.9741 0.9987 12.93 −2.021 1.673 0.9996
90 7.97 −0.8775 0.9989 11.68 −1.764 1.419 0.9998
95 7.34 −0.7932 0.9989 10.59 −1.534 1.157 0.9999
Table 3.
Fi ing Equa ion (1) o elec ical conduc i i y da a (mS
·
cm
−1
) o EAN and PAN as a unc ion
o wa e con en (ppm): pa ame e s and coe icien o de e mina ion R2.
EAN PAN
T (◦C) κIL A1(104) R2κIL A1(104) R2
5 10.55 1.989 0.9991 3.50 1.053 0.9982
15 15.10 2.566 0.9990 5.52 1.451 0.9987
25 20.4 3.436 0.9978 8.12 1.891 0.9986
35 27.1 3.849 0.9982 11.34 2.364 0.9984
45 33.9 4.469 0.9980 15.11 2.831 0.9990
55 41.1 5.141 0.9968 19.37 3.450 0.9954
65 48.7 5.780 0.9911 24.4 3.875 0.9927
75 56.3 6.504 0.9951 29.9 4.185 0.9984
85 64.7 6.795 0.9936 35.5 4.361 0.9981
95 73.2 7.087 0.9942 41.6 4.548 0.9974
Table 4.
Fi ing Equa ion (1) o e ac i e index and su ace ension (mN
·
m
−1
) da a a 25
◦
C o EAN and PAN as a unc ion
o wa e con en (ppm): pa ame e s and coe icien o de e mina ion R2.
EAN PAN
P ope y QIL A1A2R2QIL A1R2
nD1.45395 −5.14135 ×10−8−3.00678 ×10−12 0.9979 1.45536 −1.08059 ×10−70.9980
σ(mN·m−1)47.75 2.008 ×10−50.9932 38.72 2.201 ×10−50.9929
3. Discussion
3.1. Expe imen al Measu emen s as a Func ion o Wa e Con en
Analyzing he esul s ob ained om he pe spec i e o he in luence o a low wa e
con en on he physical cha ac e iza ion o EAN and PAN, i can be clea ly obse ed ha
no all p ope ies a e equally a ec ed. Thus, he quan i ies mos signi ican ly modi ied by
he p esence o wa e a e hose o anspo . The pe cen age change in iscosi y a e aged
In . J. Mol. Sci. 2021,22, 7334 8 o 15
o e all empe a u es be ween wa e - ee con en (
ηIL
) and 30,000 ppm eaches
−
39% and
−
42% o EAN and PAN, espec i ely. Meanwhile, in he case o elec ical conduc i i y,
he co esponding pe cen age change is e en g ea e , ep esen ing 43 and 56%, espec i ely.
A he o he ex eme, we ind e ac i e index (
−
0.11% and
−
0.22%, espec i ely), densi y
(−0.42% and −0.22%) and su ace ension (1.3% and 1.7%).
As can be deduced om he da a ob ained, he p esence o small quan i ies o wa e
gene a es a conside able inc ease in bo h he luidi y o he liquid and he mobili y o he
cha ge. Al hough om a olume ic and su ace poin o iew he liquids do no unde go
such a ma ked change, i can be su icien ly signi ican when a cha ac e iza ion o he
liquid s uc u e is pu sued.
3.2. Expe imen al Measu emen s as a Func ion o Tempe a u e
F om he i ing pa ame e Q
IL
o each p ope y a each empe a u e, which co e-
sponds o he alues o he p ope ies a wa e con en w = 0, in Figu es 7and 8we ha e
plo ed he densi ies, iscosi ies and elec ical conduc i i ies o EAN and PAN as a unc ion
o empe a u e.
In . J. Mol. Sci. 2021, 22, x FOR PEER REVIEW 8 o 15
3. Discussion
3.1. Expe imen al Measu emen s as a Func ion o Wa e Con en
Analyzing he esul s ob ained om he pe spec i e o he in luence o a low wa e
con en on he physical cha ac e iza ion o EAN and PAN, i can be clea ly obse ed ha
no all p ope ies a e equally a ec ed. Thus, he quan i ies mos signi ican ly modi ied by
he p esence o wa e a e hose o anspo . The pe cen age change in iscosi y a e aged
o e all empe a u es be ween wa e - ee con en (ηIL) and 30,000 ppm eaches −39 and
−42% o EAN and PAN, espec i ely. Meanwhile, in he case o elec ical conduc i i y,
he co esponding pe cen age change is e en g ea e , ep esen ing 43 and 56%, espec-
i ely. A he o he ex eme, we ind e ac i e index (−0.11 and −0.22%, espec i ely),
densi y (−0.42 and −0.22%) and su ace ension (1.3 and 1.7%).
As can be deduced om he da a ob ained, he p esence o small quan i ies o wa e
gene a es a conside able inc ease in bo h he luidi y o he liquid and he mobili y o he
cha ge. Al hough om a olume ic and su ace poin o iew he liquids do no unde go
such a ma ked change, i can be su icien ly signi ican when a cha ac e iza ion o he
liquid s uc u e is pu sued.
3.2. Expe imen al Measu emen s as a Func ion o Tempe a u e
F om he i ing pa ame e QIL o each p ope y a each empe a u e, which co e-
sponds o he alues o he p ope ies a wa e con en w = 0, in Figu es 7 and 8 we ha e
plo ed he densi ies, iscosi ies and elec ical conduc i i ies o EAN and PAN as a unc-
ion o empe a u e.
Figu e 7. Calcula ed densi ies, ρIL, o wa e - ee EAN (solid do s) and PAN (open do s) as a unc ion
o he empe a u e, ob ained om Equa ion (1). Solid line ob ained om he bes s aigh line.
The densi y da a ollow a linea end wi h empe a u e as ollows:
ρ=A,+A,T, (2)
whe e ρIL is he densi y o wa e - ee IL, T is he empe a u e in °C and Aρ,0 and Aρ,1 a e
he i ing pa ame e s p esen ed in Table 5. These densi ies o bo h wa e - ee ILs p esen
a e y simila slope, di e ing by 1.3%.
In he case o iscosi y and elec ical conduc i i y, hey can be co ela ed by he Vo-
gel–Tammann–Fulche (VTF) equa ion, as is usual o liquids o his na u e [91]. This
equa ion can be gene ally w i en as:
Q=Qe/(,), (3)
1.10
1.12
1.14
1.16
1.18
1.20
1.22
1.24
0 20406080100
ρIL (g·cm−3)
T (°C)
Figu e 7.
Calcula ed densi ies,
ρIL
, o wa e - ee EAN (solid do s) and PAN (open do s) as a unc ion
o he empe a u e, ob ained om Equa ion (1). Solid line ob ained om he bes s aigh line.
The densi y da a ollow a linea end wi h empe a u e as ollows:
ρIL =Aρ,0 +Aρ,1T, (2)
whe e
ρIL
is he densi y o wa e - ee IL, T is he empe a u e in
◦
C and A
ρ,0
and A
ρ,1
a e
he i ing pa ame e s p esen ed in Table 5. These densi ies o bo h wa e - ee ILs p esen a
e y simila slope, di e ing by 1.3%.
In he case o iscosi y and elec ical conduc i i y, hey can be co ela ed by he Vogel–
Tammann–Fulche (VTF) equa ion, as is usual o liquids o his na u e [
91
]. This equa ion
can be gene ally w i en as:
QIL =Q∞eB/(T+273,15−T0), (3)
whe e Q
IL
desc ibes
ηIL
o
κIL
,
Q∞
is he limi o iscosi y o elec ical conduc i i y a
in ini e empe a u e, B is ela ed o he ac i a ion ene gy o ions o low o o he ac i a ion
ene gy o he ion hopping and, inally, T
0
is ela ed wi h he glass ansi ion empe a u e
in K [
12
,
92
–
94
] and T is he empe a u e exp essed in
◦
C. The i ing pa ame e s
Q∞
, B
In . J. Mol. Sci. 2021,22, 7334 9 o 15
and T
0
a e gi en in Table 5, as well as he co esponding pe cen ual de ia ion, which is
de ined as:
s=100
u
u
∑N
i=1QIL, i−QVTF,i
QIL, i 2
N−1, (4)
whe e Q
VTF
is he alue o he calcula ed quan i y ob ained om he bes i o he VTF
equa ion. The esul ing cu es a e shown in Figu e 8, showing a e y good ag eemen wi h
QIL da a.
In . J. Mol. Sci. 2021, 22, x FOR PEER REVIEW 9 o 15
whe e QIL desc ibes ηIL o κIL, Qis he limi o iscosi y o elec ical conduc i i y a in ini e
empe a u e, B is ela ed o he ac i a ion ene gy o ions o low o o he ac i a ion ene gy
o he ion hopping and, inally, T0 is ela ed wi h he glass ansi ion empe a u e in K
[12,92–94] and T is he empe a u e exp essed in °C. The i ing pa ame e s Q, B and T0 a e
gi en in Table 5, as well as he co esponding pe cen ual de ia ion, which is de ined as:
s=100 ∑,,
,
, (4)
whe e QVTF is he alue o he calcula ed quan i y ob ained om he bes i o he VTF
equa ion. The esul ing cu es a e shown in Figu e 8, showing a e y good ag eemen
wi h QIL da a.
Figu e 8. Calcula ed iscosi ies, ηIL, and calcula ed elec ical conduc i i ies, κIL, o wa e - ee EAN
(solid symbols) and PAN (open symbols) as a unc ion o he empe a u e, ob ained om Equa ion
(1). Do s co espond o he le axis ( iscosi y) and squa es o he igh axis (elec ical conduc i i y).
Solid line ob ained om VTF Equa ion (3).
Table 5. Fi ing o densi y (g·cm−3), iscosi y (mPa·s) and elec ical conduc i i y (mS·cm−1) da a o wa e - ee EAN and
PAN as unc ion o empe a u e: pa ame e s o Equa ions (2) and (3), coe icien o de e mina ion R2 and pe cen ual de i-
a ion (s).
IL Aρ,0 A
ρ,1 (104) R2ρ 𝐐,ƞ Bƞ T0,ƞ sƞ 𝐐,𝛋 Bκ T0,κ sκ
EAN 1.2257 −5.9379 0.9996 0.2111 778.8 148.7 0.06 666.2 −424.9 175.8 0.7
PAN 1.1664 −5.8998 0.9998 0.1823 869.5 154.1 0.10 904.1 −620.8 166.4 0.3
3.3. Expe imen al Measu emen s as a Func ion o Wa e Con en and Tempe a u e
The wo p ope ies mos a ec ed by he p esence o wa e impu i ies can be ex-
p essed as a unc ion o wa e con en and empe a u e by means o a single equa ion.
Thus, he i ing equa ion o he iscosi y and elec ical conduc i i y o he IL a a gi en
wa e con en and empe a u e is:
Q(w,T)=Q(T)+∑A,(T) w
, (5)
whe e Q(w,T) is η(w,T) o κ(w,T), QIL(T) is he calcula ed wa e - ee iscosi y o elec i-
cal conduc i i y o he IL gi en by Equa ion (3) and he co esponding i ing pa ame e s
can be de ined as: Aƞ, (T)=(−1)e∑
, (6)
0
20
40
60
80
0 20406080100
0
30
60
90
120
150
180
210
κIL (mS·cm−1)
T (°C)
ƞIL (mPa·s)
Figu e 8.
Calcula ed iscosi ies,
ηIL
, and calcula ed elec ical conduc i i ies,
κIL
, o wa e - ee EAN
(solid symbols) and PAN (open symbols) as a unc ion o he empe a u e, ob ained om Equa ion
(1). Do s co espond o he le axis ( iscosi y) and squa es o he igh axis (elec ical conduc i i y).
Solid line ob ained om VTF Equa ion (3).
Table 5.
Fi ing o densi y (g
·
cm
−3
), iscosi y (mPa
·
s) and elec ical conduc i i y (mS
·
cm
−1
) da a o wa e - ee EAN and
PAN as unc ion o empe a u e: pa ame e s o Equa ions (2) and (3), coe icien o de e mina ion R
2
and pe cen ual
de ia ion (s).
IL Aρ,0 Aρ,1 (104) R2ρQ∞,ηBηT0,ηsηQ∞,κBκT0,κsκ
EAN 1.2257 −5.9379 0.9996 0.2111 778.8 148.7 0.06 666.2 −424.9 175.8 0.7
PAN 1.1664 −5.8998 0.9998 0.1823 869.5 154.1 0.10 904.1 −620.8 166.4 0.3
3.3. Expe imen al Measu emen s as a Func ion o Wa e Con en and Tempe a u e
The wo p ope ies mos a ec ed by he p esence o wa e impu i ies can be exp essed
as a unc ion o wa e con en and empe a u e by means o a single equa ion. Thus, he
i ing equa ion o he iscosi y and elec ical conduc i i y o he IL a a gi en wa e
con en and empe a u e is:
Q(w, T)=QIL(T)+
N
∑
i=1
AQ,i(T)wi, (5)
whe e Q(w,T) is
η(w, T)
o
κ(w, T)
, Q
IL
(T) is he calcula ed wa e - ee iscosi y o elec ical
conduc i i y o he IL gi en by Equa ion (3) and he co esponding i ing pa ame e s can
be de ined as:
Aη, i (T)=(−1)ie
M
∑
j=0
CjTj
, (6)
Aκ,i(T)=
M
∑
j=0
CjTj, (7)