return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: mPW1PW91/aug-cc-pVDZ

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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-158.432493
Energy at 298.15K-158.443108
HF Energy-158.432493
Nuclear repulsion energy130.581230
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 mPW1PW91/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 122 117 0.01      
Au 218 209 0.00      
Bg 255 244 0.00      
Bu 258 247 0.03      
Ag 427 409 0.00      
Au 729 698 3.67      
Bg 805 772 0.00      
Ag 853 817 0.00      
Au 954 914 0.91      
Bu 973 932 5.66      
Bu 1045 1001 0.15      
Ag 1094 1048 0.00      
Ag 1170 1121 0.00      
Bg 1198 1148 0.00      
Au 1280 1227 0.11      
Bu 1305 1251 1.85      
Bg 1323 1268 0.00      
Ag 1385 1327 0.00      
Bu 1396 1338 6.40      
Ag 1400 1341 0.00      
Ag 1469 1407 0.00      
Bu 1469 1408 2.39      
Bg 1476 1414 0.00      
Au 1477 1416 15.03      
Ag 1483 1421 0.00      
Bu 1490 1428 9.06      
Ag 3039 2912 0.00      
Bu 3046 2919 26.16      
Bu 3050 2923 107.60      
Ag 3050 2923 0.00      
Bg 3068 2940 0.00      
Au 3091 2962 20.68      
Bg 3125 2995 0.00      
Au 3129 2998 109.62      
Ag 3134 3004 0.00      
Bu 3135 3004 74.97      

Unscaled Zero Point Vibrational Energy (zpe) 28958.1 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 27750.5 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 mPW1PW91/aug-cc-pVDZ
ABC
0.78329 0.12129 0.11394

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.419 0.637 0.000
C2 0.419 -0.637 0.000
C3 0.419 1.909 0.000
C4 -0.419 -1.909 0.000
H5 -1.082 0.633 0.879
H6 -1.082 0.633 -0.879
H7 1.082 -0.633 0.879
H8 1.082 -0.633 -0.879
H9 -0.212 2.807 0.000
H10 1.067 1.956 0.886
H11 1.067 1.956 -0.886
H12 0.212 -2.807 0.000
H13 -1.067 -1.956 0.886
H14 -1.067 -1.956 -0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.52521.52342.54601.10081.10082.15352.15352.17952.17582.17583.50102.81612.8161
C21.52522.54601.52342.15352.15351.10081.10083.50102.81612.81612.17952.17582.1758
C31.52342.54603.90882.15752.15752.76972.76971.09731.09871.09874.72014.23484.2348
C42.54601.52343.90882.76972.76972.15752.15754.72014.23484.23481.09731.09871.0987
H51.10082.15352.15752.76971.75812.50643.06152.50122.52373.07983.77822.58893.1334
H61.10082.15352.15752.76971.75813.06152.50642.50123.07982.52373.77823.13342.5889
H72.15351.10082.76972.15752.50643.06151.75813.77822.58893.13342.50122.52373.0798
H82.15351.10082.76972.15753.06152.50641.75813.77823.13342.58892.50123.07982.5237
H92.17953.50101.09734.72012.50122.50123.77823.77821.77311.77315.62934.91964.9196
H102.17582.81611.09874.23482.52373.07982.58893.13341.77311.77234.91964.45664.7961
H112.17582.81611.09874.23483.07982.52373.13342.58891.77311.77234.91964.79614.4566
H123.50102.17954.72011.09733.77823.77822.50122.50125.62934.91964.91961.77311.7731
H132.81612.17584.23481.09872.58893.13342.52373.07984.91964.45664.79611.77311.7723
H142.81612.17584.23481.09873.13342.58893.07982.52374.91964.79614.45661.77311.7723

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.262 C1 C2 H7 109.118
C1 C2 H8 109.118 C1 C3 H9 111.501
C1 C3 H11 111.129 C1 C3 H12 30.874
C2 C1 C3 113.262 C2 C1 H5 109.118
C2 C1 H6 109.118 C2 C4 H10 17.216
C2 C4 H13 111.129 C2 C4 H14 111.129
C3 C1 H5 109.551 C3 C1 H6 109.551
C4 C2 H7 109.551 C4 C2 H8 109.551
H5 C1 H6 105.981 H7 C2 H8 105.981
H9 C3 H11 107.685 H9 C3 H12 142.376
H10 C4 H13 94.443 H10 C4 H14 114.521
H11 C3 H12 93.954 H13 C4 H14 107.526
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.521      
2 C 0.521      
3 C 0.413      
4 C 0.413      
5 H -0.280      
6 H -0.280      
7 H -0.280      
8 H -0.280      
9 H -0.136      
10 H -0.119      
11 H -0.119      
12 H -0.136      
13 H -0.119      
14 H -0.119      


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 -28.779 -0.457 0.000
y -0.457 -29.169 0.000
z 0.000 0.000 -27.927
Traceless
 xyz
x -0.232 -0.457 0.000
y -0.457 -0.815 0.000
z 0.000 0.000 1.047
Polar
3z2-r22.093
x2-y20.389
xy-0.457
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.597 0.331 0.000
y 0.331 9.041 0.000
z 0.000 0.000 7.099


<r2> (average value of r2) Å2
<r2> 118.914
(<r2>)1/2 10.905

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-158.431250
Energy at 298.15K 
Nuclear repulsion energy 
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 mPW1PW91/aug-cc-pVDZ
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 3142 3011 35.02      
2 A 3130 2999 2.64      
3 A 3085 2956 27.95      
4 A 3054 2927 25.36      
5 A 3043 2916 24.14      
6 A 1490 1428 0.68      
7 A 1485 1423 5.96      
8 A 1466 1405 0.08      
9 A 1396 1338 4.60      
10 A 1370 1313 0.02      
11 A 1305 1251 0.40      
12 A 1188 1138 0.05      
13 A 1113 1066 0.12      
14 A 989 948 0.21      
15 A 844 809 0.05      
16 A 793 760 1.73      
17 A 319 306 0.03      
18 A 265 254 0.02      
19 A 112 108 0.00      
20 B 3137 3006 51.55      
21 B 3131 3000 82.79      
22 B 3090 2961 27.48      
23 B 3052 2925 28.31      
24 B 3043 2916 32.24      
25 B 1482 1420 13.17      
26 B 1476 1415 7.73      
27 B 1463 1402 0.59      
28 B 1402 1343 7.68      
29 B 1353 1296 0.61      
30 B 1278 1225 0.40      
31 B 1150 1102 2.16      
32 B 987 946 2.08      
33 B 959 919 2.07      
34 B 741 710 3.85      
35 B 435 417 0.37      
36 B 213 204 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 28989.7 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 27780.9 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 mPW1PW91/aug-cc-pVDZ
ABC
0.78329 0.12129 0.11394

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability