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 C6H14 (Butane, 2,2-dimethyl-)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A'
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-236.723256
Energy at 298.15K-236.738168
Nuclear repulsion energy264.306307
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 PBEPBEultrafine/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' 3058 3007 41.62      
2 A' 3052 3002 69.84      
3 A' 3047 2997 61.54      
4 A' 3042 2992 0.29      
5 A' 2986 2937 21.70      
6 A' 2977 2928 10.97      
7 A' 2967 2918 34.32      
8 A' 2951 2902 31.60      
9 A' 1500 1476 11.69      
10 A' 1492 1467 6.20      
11 A' 1488 1463 5.08      
12 A' 1469 1445 0.11      
13 A' 1457 1433 0.02      
14 A' 1405 1382 3.84      
15 A' 1389 1366 6.76      
16 A' 1373 1350 5.30      
17 A' 1338 1316 0.12      
18 A' 1249 1228 4.08      
19 A' 1213 1193 9.03      
20 A' 1075 1057 2.11      
21 A' 1018 1001 2.88      
22 A' 989 973 3.71      
23 A' 920 905 1.31      
24 A' 862 847 0.30      
25 A' 702 690 0.43      
26 A' 471 463 0.61      
27 A' 394 387 0.02      
28 A' 345 339 0.02      
29 A' 266 262 0.07      
30 A' 250 246 0.04      
31 A" 3062 3011 33.94      
32 A" 3049 2999 27.02      
33 A" 3044 2994 29.81      
34 A" 3041 2991 0.41      
35 A" 2988 2939 20.50      
36 A" 2970 2921 37.28      
37 A" 1495 1470 0.05      
38 A" 1483 1459 10.51      
39 A" 1465 1441 0.22      
40 A" 1460 1436 0.11      
41 A" 1374 1351 7.84      
42 A" 1308 1286 0.83      
43 A" 1220 1200 1.66      
44 A" 1079 1061 0.53      
45 A" 978 962 0.62      
46 A" 936 921 0.02      
47 A" 922 906 0.40      
48 A" 767 755 3.09      
49 A" 405 399 0.02      
50 A" 325 320 0.02      
51 A" 281 276 0.00      
52 A" 247 243 0.00      
53 A" 207 204 0.01      
54 A" 86 84 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 40468.3 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 39800.6 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 PBEPBEultrafine/6-31G*
ABC
0.14168 0.08225 0.08197

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.911 -1.075 0.000
C2 1.175 0.271 0.000
C3 -0.378 0.220 0.000
C4 -0.901 1.671 0.000
C5 -0.901 -0.499 1.260
C6 -0.901 -0.499 -1.260
H7 -2.006 1.695 0.000
H8 3.004 -0.918 0.000
H9 -0.529 -0.014 2.180
H10 -0.529 -0.014 -2.180
H11 -0.593 -1.559 1.287
H12 -0.593 -1.559 -1.287
H13 -2.006 -0.476 1.292
H14 -2.006 -0.476 -1.292
H15 1.668 -1.679 0.891
H16 1.668 -1.679 -0.891
H17 1.498 0.856 0.884
H18 1.498 0.856 -0.884
H19 -0.552 2.221 0.893
H20 -0.552 2.221 -0.893

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20
C11.53442.62983.93093.13523.13524.79811.10373.43973.43972.85642.85644.16774.16771.10371.10372.16392.16394.21084.2108
C21.53441.55372.50432.54812.54813.48562.18082.78132.78132.85132.85133.51373.51372.20012.20011.10821.10822.75372.7537
C32.62981.55371.54261.54211.54212.19753.56742.19752.19752.20592.20592.19192.19192.92992.92992.16922.16922.19822.1982
C43.93092.50431.54262.50912.50911.10504.68502.77982.77983.49023.49022.73832.73834.31484.31482.68402.68401.10521.1052
C53.13522.54811.54212.50912.51932.76094.12441.10543.49361.10392.77561.10492.78052.85123.55242.78153.49162.76703.4863
C63.13522.54811.54212.50912.51932.76094.12443.49361.10542.77561.10392.78051.10493.55242.85123.49162.78153.48632.7670
H74.79813.48562.19751.10502.76092.76095.65023.13923.13923.77403.77402.52682.52685.06755.06753.71043.71041.78531.7853
H81.10372.18083.56744.68504.12444.12445.65024.24804.24803.87303.87305.19195.19191.77721.77722.48872.48874.82614.8261
H93.43972.78132.19752.77981.10543.49363.13924.24804.35971.78573.79631.78433.80143.04304.12682.55803.77512.57883.7991
H103.43972.78132.19752.77983.49361.10543.13924.24804.35973.79631.78573.80141.78434.12683.04303.77512.55803.79912.5788
H112.85642.85132.20593.49021.10392.77563.77403.87301.78573.79632.57431.78003.13392.29803.14153.21953.86223.80054.3634
H122.85642.85132.20593.49022.77561.10393.77403.87303.79631.78572.57433.13391.78003.14152.29803.86223.21954.36343.8005
H134.16773.51372.19192.73831.10492.78052.52685.19191.78433.80141.78003.13392.58433.88614.43943.77084.33453.08993.7631
H144.16773.51372.19192.73832.78051.10492.52685.19193.80141.78433.13391.78002.58434.43943.88614.33453.77083.76313.0899
H151.10372.20012.92994.31482.85123.55245.06751.77723.04304.12682.29803.14153.88614.43941.78232.54103.09974.48784.8293
H161.10372.20012.92994.31483.55242.85125.06751.77724.12683.04303.14152.29804.43943.88611.78233.09972.54104.82934.4878
H172.16391.10822.16922.68402.78153.49163.71042.48872.55803.77513.21953.86223.77084.33452.54103.09971.76802.46333.0371
H182.16391.10822.16922.68403.49162.78153.71042.48873.77512.55803.86223.21954.33453.77083.09972.54101.76803.03712.4633
H194.21082.75372.19821.10522.76703.48631.78534.82612.57883.79913.80054.36343.08993.76314.48784.82932.46333.03711.7852
H204.21082.75372.19821.10523.48632.76701.78534.82613.79912.57884.36343.80053.76313.08994.82934.48783.03712.46331.7852

picture of Butane, 2,2-dimethyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 116.770 C1 C2 H17 108.867
C1 C2 H18 108.867 C2 C1 H8 110.449
C2 C1 H15 111.986 C2 C1 H16 111.986
C2 C3 C4 107.960 C2 C3 C5 110.785
C2 C3 C6 110.785 C3 C2 H17 107.987
C3 C2 H18 107.987 C3 C4 H7 111.121
C3 C4 H19 111.162 C3 C4 H20 111.162
C3 C5 H9 111.132 C3 C5 H11 111.890
C3 C5 H13 110.717 C3 C6 H10 111.132
C3 C6 H12 111.890 C3 C6 H14 110.717
C4 C3 C5 108.859 C4 C3 C6 108.859
C5 C3 C6 109.538 H7 C4 H19 107.751
H7 C4 H20 107.751 H8 C1 H15 107.241
H8 C1 H16 107.241 H9 C5 H11 107.860
H9 C5 H13 107.667 H10 C6 H12 107.860
H10 C6 H14 107.667 H11 C5 H13 107.387
H12 C6 H14 107.387 H15 C1 H16 107.693
H17 C2 H18 105.826 H19 C4 H20 107.729
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.495      
2 C -0.266      
3 C 0.085      
4 C -0.475      
5 C -0.479      
6 C -0.479      
7 H 0.149      
8 H 0.156      
9 H 0.149      
10 H 0.149      
11 H 0.154      
12 H 0.154      
13 H 0.150      
14 H 0.150      
15 H 0.159      
16 H 0.159      
17 H 0.139      
18 H 0.139      
19 H 0.150      
20 H 0.150      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.041 -0.004 0.000 0.042
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.329 0.161 0.000
y 0.161 -41.787 0.000
z 0.000 0.000 -41.456
Traceless
 xyz
x 0.292 0.161 0.000
y 0.161 -0.395 0.000
z 0.000 0.000 0.103
Polar
3z2-r20.205
x2-y20.458
xy0.161
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.290 -0.434 0.000
y -0.434 9.704 0.000
z 0.000 0.000 9.482


<r2> (average value of r2) Å2
<r2> 197.985
(<r2>)1/2 14.071