Charge on Li atoms in metallic Li
Posted: Wed Jul 30, 2008 9:32 am
I report the bader charge analysis results of metallic Li.
I changed the NGX(Y,Z) grids for the bader analysis charge calculation of metallic Li in the case 1-4.
The case 5 indicates the result using the potpaw(Li_sv) containing two 1s electrons and 2s electron.
It was found that the charges on Li atoms do not converge 1.0000 even if NGX(Y,Z) increase.
For example, the charge for Li1 atom is 1.7411 --> 1.1190 --> 1.7522 --> 1.7530.
In contrast, the bader analysis using potpaw(Li_sv) gives me the charge of 3.0000 though NGX(Y,Z)=24(default value)!
Is the method using the sum of core charge and valence charge appropriate?
Is the case of metallic Li peculiar?
[Case 1. potpaw(Li) NGX(Y,Z)F=25]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 1.7411 1.5984
2 1.6820 1.6820 1.6820 0.2589 0.9228
----------------------------------------------------------------
NUMBER OF ELECTRONS: 2.00000
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 0.2589 1 0.0000
2 2.5230 0.0000 1.6820 0.1238 1 1.8806
3 0.0000 0.8410 1.6820 0.1332 1 1.8806
4 0.0000 1.6820 0.8410 0.1232 1 1.8806
5 0.0000 1.6820 2.5230 0.1232 1 1.8806
6 2.5230 1.6820 0.0000 0.1238 1 1.8806
7 0.0000 2.5230 1.6820 0.1140 1 1.8806
8 0.8410 0.0000 1.6820 0.1238 1 1.8806
9 0.8410 1.6820 0.0000 0.1238 1 1.8806
10 1.6820 1.6820 1.6820 0.2589 2 0.0000
11 1.6820 0.0000 0.8410 0.1232 1 1.8806
12 1.6820 0.0000 2.5230 0.1232 1 1.8806
13 1.6820 0.8410 0.0000 0.1140 1 1.8806
14 1.6820 2.5230 0.0000 0.1332 1 1.8806
-------------------------------------------------------------------------
[Case 2. potpaw(Li) NGX(Y,Z)F=50]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 1.1190 1.0002
2 1.6820 1.6820 1.6820 0.8810 1.0002
----------------------------------------------------------------
NUMBER OF ELECTRONS: 2.00000
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 0.2512 1 0.0000
2 2.4894 0.0000 1.6820 0.1249 2 1.8658
3 0.0000 0.8747 1.6820 0.1303 2 1.8658
4 0.0000 1.6820 0.8074 0.1247 1 1.8658
5 0.0000 1.6820 2.5567 0.1247 1 1.8658
6 2.4894 1.6820 0.0000 0.1249 2 1.8658
7 0.0000 2.5567 1.6820 0.1194 1 1.8658
8 0.8747 0.0000 1.6820 0.1249 2 1.8658
9 0.8747 1.6820 0.0000 0.1249 2 1.8658
10 1.6820 1.6820 1.6820 0.2512 2 0.0000
11 1.6820 0.0000 0.8074 0.1247 1 1.8658
12 1.6820 0.0000 2.5567 0.1247 1 1.8658
13 1.6820 0.8074 0.0000 0.1194 1 1.8658
14 1.6820 2.5567 0.0000 0.1303 1 1.8658
-------------------------------------------------------------------------
[Case 3. potpaw(Li) NGX(Y,Z)F=100]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 1.7522 1.7480
2 1.6820 1.6820 1.6820 0.2478 1.0531
----------------------------------------------------------------
NUMBER OF ELECTRONS: 2.00000
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 0.2478 1 0.0000
2 2.5230 0.0000 1.6820 0.1254 1 1.8806
3 0.0000 0.8410 1.6820 0.1281 1 1.8806
4 0.0000 1.6820 0.8410 0.1253 1 1.8806
5 0.0000 1.6820 2.5230 0.1253 1 1.8806
6 2.5230 1.6820 0.0000 0.1254 1 1.8806
7 0.0000 2.5230 1.6820 0.1226 1 1.8806
8 0.8410 0.0000 1.6820 0.1254 1 1.8806
9 0.8410 1.6820 0.0000 0.1254 1 1.8806
10 1.6820 1.6820 1.6820 0.2478 2 0.0000
11 1.6820 0.0000 0.8410 0.1253 1 1.8806
12 1.6820 0.0000 2.5230 0.1253 1 1.8806
13 1.6820 2.5230 0.0000 0.1281 1 1.8806
14 1.6820 0.8410 0.0000 0.1226 1 1.8806
-------------------------------------------------------------------------
[Case 4. potpaw(Li) NGX(Y,Z)F=200]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 1.7530 1.7771
2 1.6820 1.6820 1.6820 0.2470 1.0798
----------------------------------------------------------------
NUMBER OF ELECTRONS: 2.00000
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 0.2470 1 0.0000
2 2.5230 0.0000 1.6820 0.1255 1 1.8806
3 0.0000 0.8410 1.6820 0.1269 1 1.8806
4 0.0000 1.6820 0.8410 0.1255 1 1.8806
5 0.0000 1.6820 2.5230 0.1255 1 1.8806
6 2.5230 1.6820 0.0000 0.1255 1 1.8806
7 0.0000 2.5230 1.6820 0.1241 1 1.8806
8 0.8410 0.0000 1.6820 0.1255 1 1.8806
9 0.8410 1.6820 0.0000 0.1255 1 1.8806
10 1.6820 1.6820 1.6820 0.2470 2 0.0000
11 1.6820 0.0000 0.8410 0.1255 1 1.8806
12 1.6820 0.0000 2.5230 0.1255 1 1.8806
13 1.6820 2.5230 0.0000 0.1269 1 1.8806
14 1.6820 0.8410 0.0000 0.1241 1 1.8806
-------------------------------------------------------------------------
[Case 5. potpaw(Li_sv) NGX(Y,Z)F=24]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 3.0000 0.8966
2 1.6803 1.6803 1.6803 3.0000 0.8966
----------------------------------------------------------------
NUMBER OF ELECTRONS: 6.00003
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 2.2738 1 0.0000
2 0.0000 2.5205 1.6803 0.1213 2 1.8786
3 0.0000 0.8402 1.6803 0.1428 1 1.8786
4 0.0000 1.6803 0.8402 0.1309 1 1.8786
5 0.0000 1.6803 2.5205 0.1320 2 1.8786
6 0.8402 0.0000 1.6803 0.0996 1 1.8786
7 0.8402 1.6803 0.0000 0.0996 1 1.8786
8 1.6803 1.6803 1.6803 2.2738 2 0.0000
9 1.6803 0.0000 0.8402 0.1320 1 1.8786
10 1.6803 0.0000 2.5205 0.1309 2 1.8786
11 1.6803 0.8402 0.0000 0.1213 1 1.8786
12 1.6803 2.5205 0.0000 0.1428 2 1.8786
13 2.5205 0.0000 1.6803 0.0996 2 1.8786
14 2.5205 1.6803 0.0000 0.0996 2 1.8786
-------------------------------------------------------------------------
I changed the NGX(Y,Z) grids for the bader analysis charge calculation of metallic Li in the case 1-4.
The case 5 indicates the result using the potpaw(Li_sv) containing two 1s electrons and 2s electron.
It was found that the charges on Li atoms do not converge 1.0000 even if NGX(Y,Z) increase.
For example, the charge for Li1 atom is 1.7411 --> 1.1190 --> 1.7522 --> 1.7530.
In contrast, the bader analysis using potpaw(Li_sv) gives me the charge of 3.0000 though NGX(Y,Z)=24(default value)!
Is the method using the sum of core charge and valence charge appropriate?
Is the case of metallic Li peculiar?
[Case 1. potpaw(Li) NGX(Y,Z)F=25]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 1.7411 1.5984
2 1.6820 1.6820 1.6820 0.2589 0.9228
----------------------------------------------------------------
NUMBER OF ELECTRONS: 2.00000
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 0.2589 1 0.0000
2 2.5230 0.0000 1.6820 0.1238 1 1.8806
3 0.0000 0.8410 1.6820 0.1332 1 1.8806
4 0.0000 1.6820 0.8410 0.1232 1 1.8806
5 0.0000 1.6820 2.5230 0.1232 1 1.8806
6 2.5230 1.6820 0.0000 0.1238 1 1.8806
7 0.0000 2.5230 1.6820 0.1140 1 1.8806
8 0.8410 0.0000 1.6820 0.1238 1 1.8806
9 0.8410 1.6820 0.0000 0.1238 1 1.8806
10 1.6820 1.6820 1.6820 0.2589 2 0.0000
11 1.6820 0.0000 0.8410 0.1232 1 1.8806
12 1.6820 0.0000 2.5230 0.1232 1 1.8806
13 1.6820 0.8410 0.0000 0.1140 1 1.8806
14 1.6820 2.5230 0.0000 0.1332 1 1.8806
-------------------------------------------------------------------------
[Case 2. potpaw(Li) NGX(Y,Z)F=50]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 1.1190 1.0002
2 1.6820 1.6820 1.6820 0.8810 1.0002
----------------------------------------------------------------
NUMBER OF ELECTRONS: 2.00000
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 0.2512 1 0.0000
2 2.4894 0.0000 1.6820 0.1249 2 1.8658
3 0.0000 0.8747 1.6820 0.1303 2 1.8658
4 0.0000 1.6820 0.8074 0.1247 1 1.8658
5 0.0000 1.6820 2.5567 0.1247 1 1.8658
6 2.4894 1.6820 0.0000 0.1249 2 1.8658
7 0.0000 2.5567 1.6820 0.1194 1 1.8658
8 0.8747 0.0000 1.6820 0.1249 2 1.8658
9 0.8747 1.6820 0.0000 0.1249 2 1.8658
10 1.6820 1.6820 1.6820 0.2512 2 0.0000
11 1.6820 0.0000 0.8074 0.1247 1 1.8658
12 1.6820 0.0000 2.5567 0.1247 1 1.8658
13 1.6820 0.8074 0.0000 0.1194 1 1.8658
14 1.6820 2.5567 0.0000 0.1303 1 1.8658
-------------------------------------------------------------------------
[Case 3. potpaw(Li) NGX(Y,Z)F=100]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 1.7522 1.7480
2 1.6820 1.6820 1.6820 0.2478 1.0531
----------------------------------------------------------------
NUMBER OF ELECTRONS: 2.00000
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 0.2478 1 0.0000
2 2.5230 0.0000 1.6820 0.1254 1 1.8806
3 0.0000 0.8410 1.6820 0.1281 1 1.8806
4 0.0000 1.6820 0.8410 0.1253 1 1.8806
5 0.0000 1.6820 2.5230 0.1253 1 1.8806
6 2.5230 1.6820 0.0000 0.1254 1 1.8806
7 0.0000 2.5230 1.6820 0.1226 1 1.8806
8 0.8410 0.0000 1.6820 0.1254 1 1.8806
9 0.8410 1.6820 0.0000 0.1254 1 1.8806
10 1.6820 1.6820 1.6820 0.2478 2 0.0000
11 1.6820 0.0000 0.8410 0.1253 1 1.8806
12 1.6820 0.0000 2.5230 0.1253 1 1.8806
13 1.6820 2.5230 0.0000 0.1281 1 1.8806
14 1.6820 0.8410 0.0000 0.1226 1 1.8806
-------------------------------------------------------------------------
[Case 4. potpaw(Li) NGX(Y,Z)F=200]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 1.7530 1.7771
2 1.6820 1.6820 1.6820 0.2470 1.0798
----------------------------------------------------------------
NUMBER OF ELECTRONS: 2.00000
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 0.2470 1 0.0000
2 2.5230 0.0000 1.6820 0.1255 1 1.8806
3 0.0000 0.8410 1.6820 0.1269 1 1.8806
4 0.0000 1.6820 0.8410 0.1255 1 1.8806
5 0.0000 1.6820 2.5230 0.1255 1 1.8806
6 2.5230 1.6820 0.0000 0.1255 1 1.8806
7 0.0000 2.5230 1.6820 0.1241 1 1.8806
8 0.8410 0.0000 1.6820 0.1255 1 1.8806
9 0.8410 1.6820 0.0000 0.1255 1 1.8806
10 1.6820 1.6820 1.6820 0.2470 2 0.0000
11 1.6820 0.0000 0.8410 0.1255 1 1.8806
12 1.6820 0.0000 2.5230 0.1255 1 1.8806
13 1.6820 2.5230 0.0000 0.1269 1 1.8806
14 1.6820 0.8410 0.0000 0.1241 1 1.8806
-------------------------------------------------------------------------
[Case 5. potpaw(Li_sv) NGX(Y,Z)F=24]
# X Y Z CHARGE MIN DIST
----------------------------------------------------------------
1 0.0000 0.0000 0.0000 3.0000 0.8966
2 1.6803 1.6803 1.6803 3.0000 0.8966
----------------------------------------------------------------
NUMBER OF ELECTRONS: 6.00003
# X Y Z CHARGE ATOM DISTANCE
-------------------------------------------------------------------------
1 0.0000 0.0000 0.0000 2.2738 1 0.0000
2 0.0000 2.5205 1.6803 0.1213 2 1.8786
3 0.0000 0.8402 1.6803 0.1428 1 1.8786
4 0.0000 1.6803 0.8402 0.1309 1 1.8786
5 0.0000 1.6803 2.5205 0.1320 2 1.8786
6 0.8402 0.0000 1.6803 0.0996 1 1.8786
7 0.8402 1.6803 0.0000 0.0996 1 1.8786
8 1.6803 1.6803 1.6803 2.2738 2 0.0000
9 1.6803 0.0000 0.8402 0.1320 1 1.8786
10 1.6803 0.0000 2.5205 0.1309 2 1.8786
11 1.6803 0.8402 0.0000 0.1213 1 1.8786
12 1.6803 2.5205 0.0000 0.1428 2 1.8786
13 2.5205 0.0000 1.6803 0.0996 2 1.8786
14 2.5205 1.6803 0.0000 0.0996 2 1.8786
-------------------------------------------------------------------------