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: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-28.597848
Energy at 298.15K-28.608434
HF Energy-28.597848
Nuclear repulsion energy76.330083
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/CEP-121G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
Au 117 114 0.01      
Au 207 202 0.00      
Bg 242 235 0.00      
Bu 254 247 0.05      
Ag 418 407 0.00      
Au 742 724 4.50      
Bg 820 799 0.00      
Ag 834 813 0.00      
Au 968 944 1.23      
Bu 984 959 8.86      
Bu 1015 989 0.44      
Ag 1070 1043 0.00      
Ag 1170 1140 0.00      
Bg 1216 1185 0.00      
Au 1290 1257 0.16      
Bg 1327 1293 0.00      
Bu 1332 1298 2.28      
Ag 1392 1356 0.00      
Ag 1428 1392 0.00      
Bu 1430 1393 9.97      
Ag 1513 1475 0.00      
Bu 1515 1477 3.38      
Bg 1520 1482 0.00      
Au 1521 1482 16.63      
Ag 1526 1487 0.00      
Bu 1536 1497 11.31      
Ag 2964 2888 0.00      
Bu 2972 2897 97.40      
Bu 2974 2899 92.53      
Ag 2978 2902 0.00      
Bg 2995 2918 0.00      
Au 3020 2943 21.06      
Bg 3057 2979 0.00      
Ag 3062 2984 0.00      
Bu 3063 2985 137.15      
Au 3065 2987 202.82      

Unscaled Zero Point Vibrational Energy (zpe) 28768.6 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 28035.0 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/CEP-121G
ABC
0.76892 0.11754 0.11038

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.428 0.648 0.000
C2 0.428 -0.648 0.000
C3 0.428 1.942 0.000
C4 -0.428 -1.942 0.000
H5 -1.089 0.644 0.882
H6 -1.089 0.644 -0.882
H7 1.089 -0.644 0.882
H8 1.089 -0.644 -0.882
H9 -0.205 2.840 0.000
H10 1.075 1.987 0.888
H11 1.075 1.987 -0.888
H12 0.205 -2.840 0.000
H13 -1.075 -1.987 0.888
H14 -1.075 -1.987 -0.888

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.55311.55082.58991.10231.10232.17902.17902.20342.19972.19973.54532.85482.8548
C21.55312.58991.55082.17902.17901.10231.10233.54532.85482.85482.20342.19972.1997
C31.55082.58993.97662.18202.18202.81112.81111.09881.09971.09974.78724.29884.2988
C42.58991.55083.97662.81112.81112.18202.18204.78724.29884.29881.09881.09971.0997
H51.10232.17902.18202.81111.76382.53043.08452.52612.54673.10123.82012.63103.1707
H61.10232.17902.18202.81111.76383.08452.53042.52613.10122.54673.82013.17072.6310
H72.17901.10232.81112.18202.53043.08451.76383.82012.63103.17072.52612.54673.1012
H82.17901.10232.81112.18203.08452.53041.76383.82013.17072.63102.52613.10122.5467
H92.20343.54531.09884.78722.52612.52613.82013.82011.77641.77645.69524.98444.9844
H102.19972.85481.09974.29882.54673.10122.63103.17071.77641.77544.98444.51804.8543
H112.19972.85481.09974.29883.10122.54673.17072.63101.77641.77544.98444.85434.5180
H123.54532.20344.78721.09883.82013.82012.52612.52615.69524.98444.98441.77641.7764
H132.85482.19974.29881.09972.63103.17072.54673.10124.98444.51804.85431.77641.7754
H142.85482.19974.29881.09973.17072.63103.10122.54674.98444.85434.51801.77641.7754

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.109 C1 C2 H7 109.112
C1 C2 H8 109.112 C1 C3 H9 111.376
C1 C3 H11 111.030 C1 C3 H12 30.807
C2 C1 C3 113.109 C2 C1 H5 109.112
C2 C1 H6 109.112 C2 C4 H10 17.231
C2 C4 H13 111.030 C2 C4 H14 111.030
C3 C1 H5 109.500 C3 C1 H6 109.500
C4 C2 H7 109.500 C4 C2 H8 109.500
H5 C1 H6 106.277 H7 C2 H8 106.277
H9 C3 H11 107.798 H9 C3 H12 142.182
H10 C4 H13 94.389 H10 C4 H14 114.198
H11 C3 H12 93.910 H13 C4 H14 107.642
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.196      
2 C -0.196      
3 C -0.467      
4 C -0.467      
5 H 0.121      
6 H 0.121      
7 H 0.121      
8 H 0.121      
9 H 0.144      
10 H 0.138      
11 H 0.138      
12 H 0.144      
13 H 0.138      
14 H 0.138      


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 -29.021 -0.365 0.000
y -0.365 -29.294 0.000
z 0.000 0.000 -28.254
Traceless
 xyz
x -0.247 -0.365 0.000
y -0.365 -0.656 0.000
z 0.000 0.000 0.903
Polar
3z2-r21.806
x2-y20.273
xy-0.365
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.974 0.185 0.000
y 0.185 8.173 0.000
z 0.000 0.000 6.774


<r2> (average value of r2) Å2
<r2> 103.771
(<r2>)1/2 10.187

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-28.596590
Energy at 298.15K 
Nuclear repulsion energy77.315708
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/CEP-121G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3075 2996 69.39      
2 A 3059 2981 1.04      
3 A 3010 2933 40.23      
4 A 2982 2906 21.14      
5 A 2969 2893 51.81      
6 A 1534 1495 1.38      
7 A 1527 1488 7.18      
8 A 1511 1472 0.00      
9 A 1433 1396 5.90      
10 A 1371 1336 0.96      
11 A 1310 1276 0.39      
12 A 1200 1170 0.09      
13 A 1097 1069 0.20      
14 A 995 969 0.44      
15 A 832 811 0.28      
16 A 791 771 2.00      
17 A 314 306 0.04      
18 A 253 246 0.01      
19 A 105 103 0.01      
20 B 3067 2989 103.04      
21 B 3061 2983 144.34      
22 B 3015 2938 39.98      
23 B 2978 2902 40.72      
24 B 2964 2889 41.61      
25 B 1529 1490 15.13      
26 B 1521 1482 9.90      
27 B 1511 1472 0.69      
28 B 1427 1390 8.69      
29 B 1383 1347 3.13      
30 B 1290 1257 0.32      
31 B 1157 1128 2.97      
32 B 974 950 3.76      
33 B 963 939 2.59      
34 B 756 737 4.94      
35 B 428 417 0.46      
36 B 202 196 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 28795.6 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 28061.3 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 B3LYP/CEP-121G
ABC
0.76892 0.11754 0.11038

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability