Investigation of structure and transport in Li-doped ionic liquid electrolytes�
Justin B. Haskins,1 William R. Bennett,2 James J. Wu,2 Dionne M. Hernández,2 Oleg Borodin,3 Joshua D. Monk,1
Charles W. Bauschlicher Jr.,4 John W. Lawson5�
1ERC, Inc., NASA Ames Research Center, Moffett Field, CA 94035�2Electrochemistry Branch, NASA Glenn Research Center, Cleveland, OH 44135�3Electrochemistry Branch, U.S. Army Research Laboratory, Adelphi, MD 20783�
4Entry Systems and Technology Division, NASA Ames Research Center, Moffett Field, CA 94035�5Thermal Protection Materials Branch, NASA Ames Research Center, Moffett Field, CA 94035�
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[pyr14][TFSI], [pyr13][FSI], and [EMIM][BF4]�
https://ntrs.nasa.gov/search.jsp?R=20140017151 2019-12-27T09:19:18+00:00Z
Outline�
��
• Li-doped ionic liquids for electrochemical applications��• Atomistic computational modeling of ionic liquids�
• Influence of Li+ on ionic liquid structure�- Li+/Anion binding and solvation�- Li+ … Li+ network statistics��
• Transport properties of Li-doped ionic liquids��• Kinetics of Li+ transport in ionic liquids�
- Li+/Anion residence times�- contribution of anion exchange to diffusion�
�
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Ionic liquids for electrochemical applications�
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Computational models and molecular dynamics (MD)�
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F = −∇U
[pyr14][TFSI]�
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URD = Aij exp(−Bijrij )−Cijrij−6( )
i< j
∑
UES =qiqj4πε0rij
⎛
⎝⎜⎜
⎞
⎠⎟⎟
i< j
∑ −1
2
�μ ⋅�Ei0
i
∑
,+�<���)����������� ��������������0��2���13�,+�<���)������� �+��������� �����������0�/1�0�1��2���03�,+�<���)������� �+��������� �����������0�1��0�11�2���03��
[TFSI]- bis(trifluoromethylsufonyl)imide�
[FSI]- bis(fluorosufonyl)imide�
[BF4]- boron tetrafluoride�
[pyr14]+ N-methyl-N-butylpyrrolidinium+�
[pyr13]+ N-methyl-N-proylpyrrolidinium+�
[EMIM]+ 1-methyl-3-ethylimidazolium+�
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Ionic liquids of interest�
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Influence of Li+-doping on anion distributions�
0���������� ��� �������������������������������� ���� ���������
0 4 8 12 16r (Å)
0
1
2
g--(r
)
0 4 8 12 16r (Å)
0 4 8 12 16r (Å)
(g) (h) (i)
[pyr14][TFSI]
0.85[pyr14][TFSI] + 0.15Li[TFSI]
0.67[pyr14][TFSI] + 0.33Li[TFSI]
[pyr13][FSI]
0.85[pyr13][FSI] + 0.15Li[FSI]
0.67[pyr13][FSI] + 0.33Li[FSI]
[EMIM][BF4]
0.85[EMIM][BF4] + 0.15Li[BF4]
0.67[EMIM][BF4] + 0.33Li[BF4]
Small anion separation around Li+�
Li+-Li+ distributions�
/���������� ��� �������������������������������� ���� ���������
0 5 10 15 20r (Å)
0
2
4
6
8
10
gLi+ -L
i+ (r)
xLi+ = 0.05
xLi+ = 0.20
xLi+ = 0.33
[EMIM][BF4](c)
0 5 10 15 20r (Å)
0
1
2
3
4
gLi+ -
Li+
(r)
xLi+ = 0.05
xLi+ = 0.20
xLi+ = 0.33
[pyr13][FSI]
(b)
0 5 10 15 20r (Å)
0
1
2
3
4
5
gLi+ -
Li+
(r)
xLi+ = 0.05
xLi+ = 0.20
xLi+ = 0.33
[pyr14][TFSI](a)[pyr13][FSI] [EMIM][BF4][pyr14][TFSI]
Li+ …. Li+ clustering at low-r and high doping levels�
10 20 30 40xLi
+ (mole fraction Li-salt)
60
70
80
90
100
Mon
oden
tate
Li+
Lig
ands
(%
)
[TFSI]-
[BF4]-
[FSI]-
Li+/Anion bonding structures�
����������� ��� �������������������������������� ���� ���������
Bidentate (κ2)�Monodentate (κ1)�
• Li-[TFSI] bonding dependence on Li-doping level�• More monodentate at high doping levels�
Li+/Anion solvation shells�
1���������� ��� �������������������������������� ���� ���������
[Li][TFSI]������ [Li][BF4]�
�����
b)� [Li][FSI]������
300 320 340 360 380 400Temperature (K)
nLi
+
([BF4]-) = 4; (κ
1κ
1κ
1κ
1)
nLi
+
([BF4]-) = 4; (κ
1κ
1κ
1κ
2)
(c)
nLi
+
([FSI]-) = 4; (κ
1κ
1κ
1κ
1)
nLi
+
([FSI]-) = 4; (κ
1κ
1κ
1κ
2)
nLi
+
([FSI]-) = 3; (κ
1κ
1κ
2)
nLi
+
([FSI]-) = 5; (κ
1κ
1κ
1κ
1κ
1)
(b)
300 320 340 360 380 400Temperature (K)
0
25
50
75
100
Coo
rdin
atio
n C
ompl
exes
(%
)
nLi
+
([TFSI]-) = 3; (κ
1κ
1κ
2)
nLi
+
([TFSI]-) = 3; (κ
1κ
2κ
2)
nLi
+
([TFSI]-) = 4; (κ
1κ
1κ
1κ
1)
(a)
300 320 340 360 380 400Temperature (K)
• 4-5 anion neighbors in Li+ solvation shell: [TFSI] (3-4), [BF4] (4), [FSI] (3-5)�
• [Li(TFSI)2]- and [Li(FSI)3]-2 from expeiment (J.C. Lassegues, et al., J. Phys. Chem. A 113, 305 (2009) and K. Fujii, et al., J. Phys. Chem. C 117, 19314 (2013))�
1-coordinated� 2-coordinated�
3-coordinated�4-coordinated�
Li+ … Li+ networks�
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10-3
10-2
10-1
100
101
102
Clu
ster
Dis
trib
utio
n (%
)
(b)
[pyr13][FSI]
1 2 3 4 5 6 7NLi
+ (cluster size)1 2 3 4 5 6 7
NLi+ (cluster size)
10-3
10-2
10-1
100
101
102
Clu
ster
Dis
trib
utio
n (%
)
(c)
[EMIM][BF4]
10-3
10-2
10-1
100
101
102
Clu
ster
Dis
trib
utio
n (%
)
xLi+ = 0.33
xLi+ = 0.20
xLi+ = 0.15
xLi+ = 0.10
(a)
[pyr14][TFSI]
1 2 3 4 5 6 7NLi
+ (cluster size)
• Networks at all levels of Li-doping�
• 5-6 Li-ions in largest networks�
• Structural impact on anions�
0 10 20 30 40xLi
+ (mol % Li-salt)
30
40
50
60
70
Cis
Isom
er P
roba
bilty
(%
)
[TFSI]-
[FSI]-
solid lines: all anionsdashed lines: anions not bound to Li
+
0.1 0.2 0.3 0.4xLi
+ (mole fraction Li-salt)
50
60
70
80
90
100
Mon
oden
tate
Li+
Lig
ands
(%
)
[pyr13][FSI][EMIM][BF4]
[pyr14][TFSI]
dashed lines: unclustered Li+
solid lines: all Li+
Influence of Li+ … Li+ networks on structure�
������������ ��� �������������������������������� ���� ���������
• cis-[TFSI] and cis-[FSI] conformers in Li+ solvation shell�
• Monodentate binding in [TFSI] networks�
Computational measures of thermodynamics and transport�
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'�� ����+;� ��0/+1� ��10+1�
()� �+�1/� �+���� �+��0�
(��� �+���� �+���� �+����
(�� � �+��0� �+�01� �+����
*�� �;�� �1� ��/�
+�� �+0/� �+�;� ��+�;�
(�� �� ��'�,-./0�1��2��(�3� �����(�,������04/ 1��2��5� �� �� ��*�,�61��2��7��������� ��+�(mS/cm)�
• Greater ion mobility with decreasing density and ion size�
• High accuracy of predicted properties:�- density within ~1%�- diffusion within 10-25%�- conductivity within 10-20%�
Comparison of room-T Li transport�
������������ ��� �������������������������������� ���� ���������
10-2
10-1
100
DLi
+ x 10
10 (
m2 /s
)
0 0.1 0.2 0.3 0.4xLi
+ (mol fraction)
10-2
10-1
�Li+ (
mS
/cm
)
(d)
(g)
0 0.1 0.2 0.3 0.4xLi
+ (mol fraction)
(e)
(h)
0 0.1 0.2 0.3 0.4xLi
+ (mol fraction)
(f)
(i)
(f)
0 0.1 0.2 0.3 0.4xLi
+ (mol fraction)
(i)
luc�
luc�
[pyr14][TFSI][pyr14][TFSI] (exp)
[EMIM][BF4]
[EMIM][BF4] (exp)
[pyr13][FSI][pyr13][FSI] (exp)
[pyr14][TFSI]
• T = 298 K properties computationally expensive (~200 ns)�
• Li+ ionic conduction order of magnitude lower in [pyr14][TFSI]�
• Plateau in ionic conduction at high Li-doping�
2.8 3.2 3.6 4
1000/T (K-1
)
100
101
102
λ (m
S/c
m)
1 M Li[PF6] in 1:1 EC:DMC
0.5 m Li[BF4] in [EMIM][BF4]
0.5 m Li[FSI] in [pyr13][FSI]
0.5 m Li[TFSI] in [pyr14][TFSI]
10 % error bars
Experimental comparison of ionic conductivity to that of Li-ion battery organic electrolytes�
������������ ��� �������������������������������� ���� ���������
Mid-T ion conductivity comparable to conventional electrolytes�
Exchange of anions in the Li solvation shell�
�;���������� ��� �������������������������������� ���� ��������� ��� � ������ � ����� ������ ���� �
Li[BF4]�
Li[TFSI]�
Li+/Anion residence times�
�0���������� ��� �������������������������������� ���� ���������
0 0.1 0.2 0.3 0.4xLi
+ (mole fraction Li-salt)
1
10
100
�Li /
- (ns
)
[pyr14][TFSI]
[EMIM][BF4]
[pyr13][FSI]
(a) T = 298 K
300 325 350 375 400T (K)
1
10
100
�Li /
- (ns
)
[pyr14][TFSI]
[EMIM][BF4]
[pyr13][FSI]
(b)
xLi+ = 0.10
• Longer residence times at higher Li-doping levels�
• Times follow [TFSI] > [BF4] > [FSI]�
Contribution of anion exchange to diffusion�
�/���������� ��� �������������������������������� ���� ���������
0 5 10 15 20Time (ns)
0
10
20
30
40
MS
DLi (
Å2 )
Total Li DiffusionBAX Li Diffusion
[pyr14][TFSI]; xLi = 0.10; T = 300 K
xLi+ DLi+bax/DLi+ N〈R〉 DLi+
bax/DLi+ N〈R〉 DLi+bax/DLi+ N〈R〉
0.05 0.69 4.4 0.81 3.7 0.89 6.10.10 0.66 4.2 0.85 2.4 1.07 5.80.33 0.59 3.5 0.73 2.0 0.91 3.9
[pyr14][TFSI]� [pyr13][FSI]� [EMIM][BF4]�
• Anion exchange a secondary factor in Li+ diffusion�
• Anion exchange more important with larger anions and higher Li-doping�
Conclusions�
������������ ��� �������������������������������� ���� ���������
• Lithium networks present at all levels of doping��• Li/anion binding tends to prefer monodentate at all high levels of doping�
• Transport properties in good agreement with experiment�- density follows [BF4] < [FSI] < [TFSI]�- lithium diffusion follows [BF4] > [FSI] > [TFSI]��
• Anion exchange secondary to net motion of lithium with the solvation shell�
Acknowledgements�
�1���������� ��� �������������������������������� ���� ���������
Miscellaneous slides�
������������ ��� �������������������������������� ���� ���������
Density�
���
300 320 340 360 380 400T (K)
1200
1300
1400
ρ (k
g·m
-3)
(a)
0 0.1 0.2 0.3 0.4xLi
+ (mol fraction Li-salt)
1200
1300
1400
1500
ρ (k
g·m
-3)
(b)
[pyr14][TFSI][pyr13][FSI][EMIM][BF4]
[pyr14][TFSI] (exp)[pyr13][FSI] (exp)[EMIM][BF4] (exp)
��������� ��� �������������������������������� ���� ���������
Viscosity�
������������ ��� �������������������������������� ���� ���������
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
101
102
�xy
(cP
)
xLi+ = 0.10
xLi+ = 0.00
xLi+ = 0.00 (exp)
(c)[pyr13][FSI]
101
102
101
102
�xy
(cP
)
xLi+ = 0.10
xLi+ = 0.10 (exp)
xLi+ = 0.00
xLi+ = 0.00 (exp)
(b)[EMIM][BF4]
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
101
102
103
�xy
(cP
)
xLi+ = 0.10
xLi+ = 0.10 (luc)
xLi+ = 0.10 (exp)
xLi+ = 0.00
xLi+ = 0.00 (exp)
[pyr14][TFSI] (a)
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
10-2
10-1
100
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
10-2
10-1
100
D x
1010
(m
2 s-1)
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
[pyr13]+
[FSI]-
Li+
(e) (f)
0.9[pyr13][FSI] + 0.1Li[FSI][pyr13][FSI]
[pyr14]+ (exp)
[TFSI]- (exp)
Li+ (exp)
10-2
10-1
100
D x
1010
(m
2 s-1)
10-1
100
101
D x
1010
(m
2 s-1)
[pyr14]+
[TFSI]-
Li+
Li+ (luc)
[pyr14]+ (exp)
[TFSI]- (exp)
Li+ (exp)
[EMIM]+
[BF4]-
Li+
[EMIM]+ (exp)
[BF4]- (exp)
Li+ (exp)
(a)
(c)
(b)
(d)
[pyr14][TFSI] 0.9[pyr14][TFS1] + 0.1Li[TFSI]
0.9[EMIM][BF4] + 0.1Li[BF4][EMIM][BF4]
Diffusion�
������������ ��� �������������������������������� ���� ���������
Ionic conductivity�
������������ ��� �������������������������������� ���� ���������
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
0.1
1
10
100
� (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.15
xLi+ = 0.13 (exp)
(c) [pyr13][FSI]
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
0.1
1
10
100
� (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.10
(c) [pyr13][FSI]
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
0.1
1
10
100
� (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.10
(c) [pyr13][FSI]
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
0.1
1
10
100
� (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.15
xLi+ = 0.13 (exp)
(c) [pyr13][FSI]
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
0.1
1
10
100
� (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.15
xLi+ = 0.13 (exp)
(c) [pyr13][FSI]
1
10
100
� (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.10
xLi+ = 0.09 (exp)
(b) [EMIM][BF4]
0.1
1
10
100
1
10
100
λ (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.10
xLi+ = 0.09 (exp)
(b) [EMIM][BF4]
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
12.6 2.8 3 3.2 3.4
1000/T (K-1
)
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
0.1
1
10
� (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.20
xLi+ = 0.18 (exp)
(a) [pyr14][TFSI]
0.1
1
10
λ (m
S/c
m)
xLi+ = 0.0
xLi+ = 0.0 (exp)
xLi+ = 0.20
xLi+ = 0.18 (exp)
(a) [pyr14][TFSI]
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
12.6 2.8 3 3.2 3.4
1000/T (K-1
)
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
2.6 2.8 3 3.2 3.4
1000/T (K-1
)
2.6 2.8 3 3.2 3.4
1000/T (K-1
)