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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: B97D3/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes Anti 1Ag
1 2 no Gauche 1A

Conformer 1 (Anti)

Jump to S1C2
Energy calculated at B97D3/TZVP
 hartrees
Energy at 0K-158.411255
Energy at 298.15K-158.421799
HF Energy-158.411255
Nuclear repulsion energy130.211892
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B97D3/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3044 3000 0.00      
2 Ag 2974 2931 0.00      
3 Ag 2956 2913 0.00      
4 Ag 1480 1459 0.00      
5 Ag 1463 1442 0.00      
6 Ag 1386 1366 0.00      
7 Ag 1367 1347 0.00      
8 Ag 1146 1130 0.00      
9 Ag 1042 1027 0.00      
10 Ag 824 812 0.00      
11 Ag 421 415 0.00      
12 Au 3041 2998 136.51      
13 Au 3001 2957 22.53      
14 Au 1475 1454 14.17      
15 Au 1271 1252 0.16      
16 Au 953 939 0.96      
17 Au 729 719 3.20      
18 Au 213 210 0.00      
19 Au 117 116 0.01      
20 Bg 3037 2993 0.00      
21 Bg 2978 2935 0.00      
22 Bg 1473 1452 0.00      
23 Bg 1314 1295 0.00      
24 Bg 1187 1170 0.00      
25 Bg 805 793 0.00      
26 Bg 251 247 0.00      
27 Bu 3045 3001 94.10      
28 Bu 2973 2931 106.19      
29 Bu 2964 2922 43.68      
30 Bu 1488 1466 8.00      
31 Bu 1467 1446 1.89      
32 Bu 1388 1368 4.72      
33 Bu 1302 1283 3.68      
34 Bu 996 982 0.15      
35 Bu 964 950 5.85      
36 Bu 255 252 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 28393.2 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 27984.3 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B97D3/TZVP
ABC
0.78004 0.12032 0.11300

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.422 0.640 0.000
C2 -0.422 -0.640 0.000
C3 -0.422 1.918 0.000
C4 0.422 -1.918 0.000
H5 1.083 0.634 0.879
H6 1.083 0.634 -0.879
H7 -1.083 -0.634 0.879
H8 -1.083 -0.634 -0.879
H9 0.207 2.816 0.000
H10 -0.207 -2.816 0.000
H11 -1.069 1.962 -0.885
H12 -1.069 1.962 0.885
H13 1.069 -1.962 -0.885
H14 1.069 -1.962 0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53291.53132.55761.09981.09982.15882.15882.18653.51242.18042.18042.82332.8233
C21.53292.55761.53132.15882.15881.09981.09983.51242.18652.82332.82332.18042.1804
C31.53132.55763.92722.16462.16462.77872.77871.09634.73841.09741.09744.24944.2494
C42.55761.53133.92722.77872.77872.16462.16464.73841.09634.24944.24941.09741.0974
H51.09982.15882.16462.77871.75742.51043.06432.51003.78653.08332.52893.13852.5960
H61.09982.15882.16462.77871.75743.06432.51042.51003.78652.52893.08332.59603.1385
H72.15881.09982.77872.16462.51043.06431.75743.78652.51003.13852.59603.08332.5289
H82.15881.09982.77872.16463.06432.51041.75743.78652.51002.59603.13852.52893.0833
H92.18653.51241.09634.73842.51002.51003.78653.78655.64671.77221.77224.93484.9348
H103.51242.18654.73841.09633.78653.78652.51002.51005.64674.93484.93481.77221.7722
H112.18042.82331.09744.24943.08332.52893.13852.59601.77224.93481.77044.46844.8064
H122.18042.82331.09744.24942.52893.08332.59603.13851.77224.93481.77044.80644.4684
H132.82332.18044.24941.09743.13852.59603.08332.52894.93481.77224.46844.80641.7704
H142.82332.18044.24941.09742.59603.13852.52893.08334.93481.77224.80644.46841.7704

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.161 C1 C2 H7 109.065
C1 C2 H8 109.065 C1 C3 H9 111.561
C1 C3 H11 111.007 C1 C3 H12 111.007
C2 C1 C3 113.161 C2 C1 H5 109.065
C2 C1 H6 109.065 C2 C4 H10 111.561
C2 C4 H13 111.007 C2 C4 H14 111.007
C3 C1 H5 109.619 C3 C1 H6 109.619
C4 C2 H7 109.619 C4 C2 H8 109.619
H5 C1 H6 106.064 H7 C2 H8 106.064
H9 C3 H11 107.774 H9 C3 H12 107.774
H10 C4 H13 107.774 H10 C4 H14 107.774
H11 C3 H12 107.542 H13 C4 H14 107.542
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.174      
2 C -0.174      
3 C -0.321      
4 C -0.321      
5 H 0.091      
6 H 0.091      
7 H 0.091      
8 H 0.091      
9 H 0.113      
10 H 0.113      
11 H 0.100      
12 H 0.100      
13 H 0.100      
14 H 0.100      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.940 0.425 0.000
y 0.425 -29.313 0.000
z 0.000 0.000 -28.146
Traceless
 xyz
x -0.210 0.425 0.000
y 0.425 -0.770 0.000
z 0.000 0.000 0.980
Polar
3z2-r21.960
x2-y20.373
xy0.425
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.310 -0.267 0.000
y -0.267 8.743 0.000
z 0.000 0.000 7.006


<r2> (average value of r2) Å2
<r2> 119.739
(<r2>)1/2 10.943

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at B97D3/TZVP
 hartrees
Energy at 0K-158.410355
Energy at 298.15K-158.420963
HF Energy-158.410355
Nuclear repulsion energy132.021126
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B97D3/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3056 3012 48.82      
2 A 3040 2996 1.22      
3 A 2995 2952 31.58      
4 A 2978 2935 34.44      
5 A 2959 2916 20.39      
6 A 1489 1468 1.40      
7 A 1480 1458 4.82      
8 A 1462 1441 0.00      
9 A 1389 1369 2.94      
10 A 1347 1328 0.95      
11 A 1291 1272 0.22      
12 A 1173 1156 0.05      
13 A 1063 1048 0.14      
14 A 976 962 0.42      
15 A 818 807 0.09      
16 A 782 770 1.47      
17 A 318 313 0.01      
18 A 270 266 0.01      
19 A 103 102 0.01      
20 B 3050 3006 58.61      
21 B 3041 2998 103.14      
22 B 2999 2955 38.49      
23 B 2976 2933 30.70      
24 B 2960 2917 34.12      
25 B 1481 1460 10.05      
26 B 1474 1452 9.22      
27 B 1459 1438 0.37      
28 B 1387 1367 6.82      
29 B 1348 1329 2.98      
30 B 1269 1250 0.43      
31 B 1132 1115 2.26      
32 B 956 942 1.54      
33 B 945 931 2.63      
34 B 739 728 3.67      
35 B 429 422 0.32      
36 B 206 203 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 28417.6 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 28008.4 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B97D3/TZVP
ABC
0.44069 0.15760 0.13429

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.249 0.727 0.625
C2 -0.249 -0.727 0.625
C3 -0.249 1.562 -0.559
C4 0.249 -1.562 -0.559
H5 -0.067 1.208 1.561
H6 1.349 0.728 0.636
H7 0.067 -1.208 1.561
H8 -1.349 -0.728 0.636
H9 0.084 2.603 -0.477
H10 -0.084 -2.603 -0.477
H11 0.120 1.173 -1.515
H12 -1.346 1.565 -0.602
H13 -0.120 -1.173 -1.515
H14 1.346 -1.565 -0.602

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53661.53252.57691.09871.10012.15682.16172.18223.52322.18982.18062.88532.8218
C21.53662.57691.53252.15682.16171.09871.10013.52322.18222.88532.82182.18982.1806
C31.53252.57693.16342.15732.16313.50232.80781.09634.16901.09571.09772.90023.5108
C42.57691.53253.16343.50232.80782.15732.16314.16901.09632.90023.51081.09571.0977
H51.09872.15682.15733.50231.75782.41912.49992.47444.32153.08162.53883.89013.7901
H61.10012.16172.16312.80781.75782.49993.06672.52053.79372.51713.08223.22502.6065
H72.15681.09873.50232.15732.41912.49991.75784.32152.47443.89013.79013.08162.5388
H82.16171.10012.80782.16312.49993.06671.75783.79372.52053.22502.60652.51713.0822
H92.18223.52321.09634.16902.47442.52054.32153.79375.20871.76701.77193.92164.3566
H103.52322.18224.16901.09634.32153.79372.47442.52055.20873.92164.35661.76701.7719
H112.18982.88531.09572.90023.08162.51713.89013.22501.76703.92161.77062.35883.1361
H122.18062.82181.09773.51082.53883.08223.79012.60651.77194.35661.77063.13614.1288
H132.88532.18982.90021.09573.89013.22503.08162.51713.92161.76702.35883.13611.7706
H142.82182.18063.51081.09773.79012.60652.53883.08224.35661.77193.13614.12881.7706

picture of Butane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 114.200 C1 C2 H7 108.712
C1 C2 H8 109.019 C1 C3 H9 111.133
C1 C3 H11 111.779 C1 C3 H12 110.926
C2 C1 C3 114.200 C2 C1 H5 108.712
C2 C1 H6 109.019 C2 C4 H10 111.133
C2 C4 H13 111.779 C2 C4 H14 110.926
C3 C1 H5 109.034 C3 C1 H6 109.407
C4 C2 H7 109.034 C4 C2 H8 109.407
H5 C1 H6 106.159 H7 C2 H8 106.159
H9 C3 H11 107.436 H9 C3 H12 107.726
H10 C4 H13 107.436 H10 C4 H14 107.726
H11 C3 H12 107.651 H13 C4 H14 107.651
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.161      
2 C -0.161      
3 C -0.358      
4 C -0.358      
5 H 0.105      
6 H 0.090      
7 H 0.105      
8 H 0.090      
9 H 0.114      
10 H 0.114      
11 H 0.111      
12 H 0.099      
13 H 0.111      
14 H 0.099      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.091 0.091
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.462 0.087 0.000
y 0.087 -28.910 0.000
z 0.000 0.000 -28.849
Traceless
 xyz
x 0.418 0.087 0.000
y 0.087 -0.254 0.000
z 0.000 0.000 -0.163
Polar
3z2-r2-0.326
x2-y20.448
xy0.087
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.102 -0.086 0.000
y -0.086 8.319 0.000
z 0.000 0.000 7.408


<r2> (average value of r2) Å2
<r2> 107.447
(<r2>)1/2 10.366