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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: B3LYP/aug-cc-pVQZ

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 B3LYP/aug-cc-pVQZ
 hartrees
Energy at 0K-158.532895
Energy at 298.15K-158.543508
HF Energy-158.532895
Nuclear repulsion energy130.612205
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 B3LYP/aug-cc-pVQZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 124 120 0.01      
Au 216 209 0.00      
Bg 254 246 0.00      
Bu 258 250 0.02      
Ag 424 411 0.00      
Au 738 716 3.30      
Bg 815 790 0.00      
Ag 839 813 0.00      
Au 966 936 0.75      
Bu 980 950 5.02      
Bu 1015 983 0.13      
Ag 1062 1029 0.00      
Ag 1169 1133 0.00      
Bg 1212 1175 0.00      
Au 1293 1253 0.20      
Bu 1329 1288 2.88      
Bg 1336 1294 0.00      
Ag 1394 1351 0.00      
Ag 1414 1370 0.00      
Bu 1415 1371 4.50      
Ag 1489 1443 0.00      
Bu 1493 1447 2.24      
Bg 1499 1453 0.00      
Au 1501 1454 13.87      
Ag 1506 1459 0.00      
Bu 1515 1468 8.23      
Ag 2999 2906 0.00      
Bu 3008 2914 42.50      
Bg 3016 2922 0.00      
Bu 3019 2925 86.25      
Ag 3019 2925 0.00      
Au 3039 2945 19.72      
Bg 3075 2979 0.00      
Au 3079 2983 114.14      
Ag 3081 2985 0.00      
Bu 3082 2986 79.97      

Unscaled Zero Point Vibrational Energy (zpe) 28837.3 cm-1
Scaled (by 0.9689) Zero Point Vibrational Energy (zpe) 27940.5 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 B3LYP/aug-cc-pVQZ
ABC
0.78755 0.12073 0.11342

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVQZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.420 0.639 0.000
C2 0.420 -0.639 0.000
C3 0.420 1.915 0.000
C4 -0.420 -1.915 0.000
H5 -1.078 0.635 0.874
H6 -1.078 0.635 -0.874
H7 1.078 -0.635 0.874
H8 1.078 -0.635 -0.874
H9 -0.207 2.807 0.000
H10 1.064 1.962 0.880
H11 1.064 1.962 -0.880
H12 0.207 -2.807 0.000
H13 -1.064 -1.962 0.880
H14 -1.064 -1.962 -0.880

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.52931.52792.55371.09381.09382.15192.15192.17822.17432.17433.50222.82032.8203
C21.52932.55371.52792.15192.15191.09381.09383.50222.82032.82032.17822.17432.1743
C31.52792.55373.92082.15562.15562.77442.77441.09041.09141.09144.72634.24364.2436
C42.55371.52793.92082.77442.77442.15562.15564.72634.24364.24361.09041.09141.0914
H51.09382.15192.15562.77441.74762.50223.05212.49772.51953.07003.77622.59713.1340
H61.09382.15192.15562.77441.74763.05212.50222.49773.07002.51953.77623.13402.5971
H72.15191.09382.77442.15562.50223.05211.74763.77622.59713.13402.49772.51953.0700
H82.15191.09382.77442.15563.05212.50221.74763.77623.13402.59712.49773.07002.5195
H92.17823.50221.09044.72632.49772.49773.77623.77621.76161.76165.62864.92444.9244
H102.17432.82031.09144.24362.51953.07002.59713.13401.76161.76074.92444.46374.7984
H112.17432.82031.09144.24363.07002.51953.13402.59711.76161.76074.92444.79844.4637
H123.50222.17824.72631.09043.77623.77622.49772.49775.62864.92444.92441.76161.7616
H132.82032.17434.24361.09142.59713.13402.51953.07004.92444.46374.79841.76161.7607
H142.82032.17434.24361.09143.13402.59713.07002.51954.92444.79844.46371.76161.7607

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.298 C1 C2 H7 109.117
C1 C2 H8 109.117 C1 C3 H9 111.503
C1 C3 H11 111.125 C1 C3 H12 30.786
C2 C1 C3 113.298 C2 C1 H5 109.117
C2 C1 H6 109.117 C2 C4 H10 17.191
C2 C4 H13 111.125 C2 C4 H14 111.125
C3 C1 H5 109.502 C3 C1 H6 109.502
C4 C2 H7 109.502 C4 C2 H8 109.502
H5 C1 H6 106.048 H7 C2 H8 106.048
H9 C3 H11 107.683 H9 C3 H12 142.289
H10 C4 H13 94.493 H10 C4 H14 114.395
H11 C3 H12 94.005 H13 C4 H14 107.536
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.352      
2 C -0.352      
3 C -0.891      
4 C -0.891      
5 H 0.256      
6 H 0.256      
7 H 0.256      
8 H 0.256      
9 H 0.251      
10 H 0.240      
11 H 0.240      
12 H 0.251      
13 H 0.240      
14 H 0.240      


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 -29.067 -0.461 0.000
y -0.461 -29.499 0.000
z 0.000 0.000 -28.223
Traceless
 xyz
x -0.207 -0.461 0.000
y -0.461 -0.854 0.000
z 0.000 0.000 1.060
Polar
3z2-r22.121
x2-y20.431
xy-0.461
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.642 0.342 0.000
y 0.342 9.122 0.000
z 0.000 0.000 7.140


<r2> (average value of r2) Å2
<r2> 119.385
(<r2>)1/2 10.926

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at B3LYP/aug-cc-pVQZ
 hartrees
Energy at 0K-158.531486
Energy at 298.15K-158.542158
Nuclear repulsion energy132.319810
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 B3LYP/aug-cc-pVQZ
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 3092 2996 42.05      
2 A 3078 2982 1.43      
3 A 3035 2940 26.10      
4 A 3023 2929 33.10      
5 A 3002 2908 13.47      
6 A 1513 1466 0.80      
7 A 1507 1460 5.58      
8 A 1489 1443 0.00      
9 A 1418 1374 2.88      
10 A 1376 1333 0.74      
11 A 1315 1274 0.24      
12 A 1197 1160 0.10      
13 A 1083 1050 0.15      
14 A 993 962 0.38      
15 A 834 808 0.09      
16 A 792 768 1.45      
17 A 322 312 0.03      
18 A 260 252 0.01      
19 A 112 108 0.00      
20 B 3086 2990 49.26      
21 B 3079 2983 86.95      
22 B 3037 2942 36.34      
23 B 3021 2927 24.20      
24 B 3004 2911 29.05      
25 B 1508 1461 10.68      
26 B 1499 1453 8.04      
27 B 1488 1441 0.28      
28 B 1415 1371 6.16      
29 B 1379 1336 2.45      
30 B 1292 1252 0.33      
31 B 1156 1120 1.91      
32 B 973 943 1.43      
33 B 962 932 2.32      
34 B 753 729 3.40      
35 B 432 418 0.28      
36 B 212 206 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 28866.2 cm-1
Scaled (by 0.9689) Zero Point Vibrational Energy (zpe) 27968.4 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 B3LYP/aug-cc-pVQZ
ABC
0.44806 0.15648 0.13422

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVQZ

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.253 0.723 0.616
C2 -0.253 -0.723 0.616
C3 -0.253 1.571 -0.551
C4 0.253 -1.571 -0.551
H5 -0.045 1.198 1.554
H6 1.347 0.719 0.615
H7 0.045 -1.198 1.554
H8 -1.347 -0.719 0.615
H9 0.104 2.598 -0.474
H10 -0.104 -2.598 -0.474
H11 0.081 1.182 -1.513
H12 -1.345 1.601 -0.569
H13 -0.081 -1.182 -1.513
H14 1.345 -1.601 -0.569

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53311.52912.57431.09271.09412.14862.15482.17393.51422.18462.17432.87652.8280
C21.53312.57431.52912.14862.15481.09271.09413.51422.17392.87652.82802.18462.1743
C31.52912.57433.18232.14802.15593.49152.79281.09044.17251.09001.09182.92063.5516
C42.57431.52913.18233.49152.79282.14802.15594.17251.09042.92063.55161.09001.0918
H51.09272.14862.14803.49151.74692.39872.50092.46864.30483.06942.52103.88213.7781
H61.09412.15482.15592.79281.74692.50093.05452.50283.78082.51853.07013.19062.6043
H72.14861.09273.49152.14802.39872.50091.74694.30482.46863.88213.77813.06942.5210
H82.15481.09412.79282.15592.50093.05451.74693.78082.50283.19062.60432.51853.0701
H92.17393.51421.09044.17252.46862.50284.30483.78085.20061.75681.76103.92434.3797
H103.51422.17394.17251.09044.30483.78082.46862.50285.20063.92434.37971.75681.7610
H112.18462.87651.09002.92063.06942.51853.88213.19061.75683.92431.76102.36883.1983
H122.17432.82801.09183.55162.52103.07013.77812.60431.76104.37971.76103.19834.1814
H132.87652.18462.92061.09003.88213.19063.06942.51853.92431.75682.36883.19831.7610
H142.82802.17433.55161.09183.77812.60432.52103.07014.37971.76103.19834.18141.7610

picture of Butane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 114.426 C1 C2 H7 108.661
C1 C2 H8 109.065 C1 C3 H9 111.074
C1 C3 H11 111.952 C1 C3 H12 111.016
C2 C1 C3 114.426 C2 C1 H5 108.661
C2 C1 H6 109.065 C2 C4 H10 111.074
C2 C4 H13 111.952 C2 C4 H14 111.016
C3 C1 H5 108.889 C3 C1 H6 109.422
C4 C2 H7 108.889 C4 C2 H8 109.422
H5 C1 H6 106.041 H7 C2 H8 106.041
H9 C3 H11 107.365 H9 C3 H12 107.601
H10 C4 H13 107.365 H10 C4 H14 107.601
H11 C3 H12 107.628 H13 C4 H14 107.628
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.363      
2 C -0.363      
3 C -0.916      
4 C -0.916      
5 H 0.290      
6 H 0.210      
7 H 0.290      
8 H 0.210      
9 H 0.316      
10 H 0.316      
11 H 0.242      
12 H 0.220      
13 H 0.242      
14 H 0.220      


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 0.105 0.105
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.563 0.091 0.000
y 0.091 -29.057 0.000
z 0.000 0.000 -28.963
Traceless
 xyz
x 0.447 0.091 0.000
y 0.091 -0.294 0.000
z 0.000 0.000 -0.153
Polar
3z2-r2-0.305
x2-y20.494
xy0.091
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.303 -0.095 0.000
y -0.095 8.639 0.000
z 0.000 0.000 7.709


<r2> (average value of r2) Å2
<r2> 107.534
(<r2>)1/2 10.370