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: M06-2X/6-31G**

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 M06-2X/6-31G**
 hartrees
Energy at 0K-158.368297
Energy at 298.15K-158.378980
HF Energy-158.368297
Nuclear repulsion energy130.727733
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 M06-2X/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 128 121 0.01      
Au 236 224 0.00      
Bu 263 250 0.04      
Bg 271 258 0.00      
Ag 432 410 0.00      
Au 739 702 3.08      
Bg 814 773 0.00      
Ag 861 819 0.00      
Au 966 918 1.14      
Bu 988 939 6.66      
Bu 1049 997 0.17      
Ag 1095 1041 0.00      
Ag 1184 1125 0.00      
Bg 1216 1155 0.00      
Au 1298 1234 0.19      
Bu 1327 1262 3.11      
Bg 1342 1275 0.00      
Ag 1412 1342 0.00      
Bu 1430 1359 4.89      
Ag 1431 1360 0.00      
Ag 1504 1429 0.00      
Bu 1508 1433 1.53      
Bg 1520 1444 0.00      
Au 1521 1446 13.23      
Ag 1523 1448 0.00      
Bu 1528 1452 5.57      
Ag 3054 2903 0.00      
Bu 3063 2911 34.15      
Ag 3071 2919 0.00      
Bu 3071 2919 73.35      
Bg 3088 2935 0.00      
Au 3109 2954 24.79      
Bg 3145 2989 0.00      
Au 3148 2992 94.82      
Ag 3156 2999 0.00      
Bu 3156 3000 63.75      

Unscaled Zero Point Vibrational Energy (zpe) 29322.1 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 27867.8 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 M06-2X/6-31G**
ABC
0.78054 0.12178 0.11427

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.423 0.636 0.000
C2 0.423 -0.636 0.000
C3 0.423 1.906 0.000
C4 -0.423 -1.906 0.000
H5 -1.082 0.629 0.878
H6 -1.082 0.629 -0.878
H7 1.082 -0.629 0.878
H8 1.082 -0.629 -0.878
H9 -0.197 2.805 0.000
H10 1.069 1.943 0.883
H11 1.069 1.943 -0.883
H12 0.197 -2.805 0.000
H13 -1.069 -1.943 0.883
H14 -1.069 -1.943 -0.883

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.52751.52622.54131.09731.09732.15282.15282.18142.17132.17133.49652.80082.8008
C21.52752.54131.52622.15282.15281.09731.09733.49652.80082.80082.18142.17132.1713
C31.52622.54133.90412.16042.16042.76152.76151.09301.09461.09464.71644.22094.2209
C42.54131.52623.90412.76152.76152.16042.16044.71644.22094.22091.09301.09461.0946
H51.09732.15282.16042.76151.75522.50263.05682.50832.52063.07473.76802.57123.1163
H61.09732.15282.16042.76151.75523.05682.50262.50833.07472.52063.76803.11632.5712
H72.15281.09732.76152.16042.50263.05681.75523.76802.57123.11632.50832.52063.0747
H82.15281.09732.76152.16043.05682.50261.75523.76803.11632.57122.50833.07472.5206
H92.18143.49651.09304.71642.50832.50833.76803.76801.76841.76845.62454.90744.9074
H102.17132.80081.09464.22092.52063.07472.57123.11631.76841.76634.90744.43464.7734
H112.17132.80081.09464.22093.07472.52063.11632.57121.76841.76634.90744.77344.4346
H123.49652.18144.71641.09303.76803.76802.50832.50835.62454.90744.90741.76841.7684
H132.80082.17134.22091.09462.57123.11632.52063.07474.90744.43464.77341.76841.7663
H142.80082.17134.22091.09463.11632.57123.07472.52064.90744.77344.43461.76841.7663

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 112.651 C1 C2 H7 109.103
C1 C2 H8 109.103 C1 C3 H9 111.714
C1 C3 H11 110.813 C1 C3 H12 30.943
C2 C1 C3 112.651 C2 C1 H5 109.103
C2 C1 H6 109.103 C2 C4 H10 17.311
C2 C4 H13 110.813 C2 C4 H14 110.813
C3 C1 H5 109.780 C3 C1 H6 109.780
C4 C2 H7 109.780 C4 C2 H8 109.780
H5 C1 H6 106.215 H7 C2 H8 106.215
H9 C3 H11 107.881 H9 C3 H12 142.657
H10 C4 H13 94.045 H10 C4 H14 114.090
H11 C3 H12 93.558 H13 C4 H14 107.575
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.212      
2 C -0.212      
3 C -0.362      
4 C -0.362      
5 H 0.110      
6 H 0.110      
7 H 0.110      
8 H 0.110      
9 H 0.120      
10 H 0.118      
11 H 0.118      
12 H 0.120      
13 H 0.118      
14 H 0.118      


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 -28.407 -0.296 0.000
y -0.296 -28.628 0.000
z 0.000 0.000 -27.840
Traceless
 xyz
x -0.173 -0.296 0.000
y -0.296 -0.504 0.000
z 0.000 0.000 0.677
Polar
3z2-r21.355
x2-y20.221
xy-0.296
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.320 0.149 0.000
y 0.149 7.434 0.000
z 0.000 0.000 6.213


<r2> (average value of r2) Å2
<r2> 118.344
(<r2>)1/2 10.879

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at M06-2X/6-31G**
 hartrees
Energy at 0K-158.367503
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 M06-2X/6-31G**
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 3159 3002 30.74      
2 A 3141 2985 0.75      
3 A 3097 2943 24.95      
4 A 3067 2915 23.20      
5 A 3052 2901 16.77      
6 A 1528 1452 0.54      
7 A 1519 1444 3.80      
8 A 1502 1428 0.12      
9 A 1426 1355 3.90      
10 A 1392 1323 0.31      
11 A 1317 1251 0.26      
12 A 1202 1142 0.02      
13 A 1110 1055 0.02      
14 A 995 946 0.14      
15 A 848 806 0.02      
16 A 803 763 1.31      
17 A 319 303 0.03      
18 A 273 259 0.01      
19 A 113 107 0.00      
20 B 3153 2996 42.92      
21 B 3142 2986 69.36      
22 B 3101 2948 27.77      
23 B 3066 2914 22.31      
24 B 3054 2903 28.57      
25 B 1520 1445 8.00      
26 B 1513 1438 9.55      
27 B 1496 1422 0.35      
28 B 1431 1360 6.52      
29 B 1372 1304 2.30      
30 B 1293 1229 0.56      
31 B 1160 1102 2.70      
32 B 988 939 1.07      
33 B 964 917 2.55      
34 B 747 710 3.52      
35 B 435 413 0.47      
36 B 215 204 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 29255.7 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 27804.6 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 M06-2X/6-31G**
ABC
0.78054 0.12178 0.11427

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability