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All results from a given calculation for C5H12 (Butane, 2-methyl-)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-196.406449
Energy at 298.15K-196.419293
Nuclear repulsion energy190.802617
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 PBEPBE/3-21G
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 3059 3031 28.54      
2 A 3052 3025 55.52      
3 A 3049 3021 73.94      
4 A 3047 3020 15.46      
5 A 3044 3017 18.10      
6 A 3038 3011 4.02      
7 A 3000 2972 13.50      
8 A 2978 2951 18.28      
9 A 2973 2946 25.63      
10 A 2969 2942 29.45      
11 A 2962 2935 20.33      
12 A 2955 2928 3.16      
13 A 1531 1517 7.47      
14 A 1526 1512 12.00      
15 A 1521 1508 3.67      
16 A 1519 1505 16.31      
17 A 1511 1497 4.34      
18 A 1505 1492 0.10      
19 A 1492 1479 0.21      
20 A 1416 1403 4.36      
21 A 1406 1393 15.91      
22 A 1394 1382 8.40      
23 A 1356 1344 3.05      
24 A 1347 1335 0.70      
25 A 1313 1301 1.30      
26 A 1292 1280 0.87      
27 A 1194 1183 0.41      
28 A 1182 1171 2.94      
29 A 1154 1143 3.76      
30 A 1024 1015 3.84      
31 A 1019 1010 1.68      
32 A 991 982 11.06      
33 A 963 954 0.07      
34 A 933 924 2.75      
35 A 899 891 0.72      
36 A 796 789 1.79      
37 A 758 751 3.65      
38 A 450 446 0.47      
39 A 409 406 0.51      
40 A 361 358 0.06      
41 A 268 265 0.03      
42 A 257 254 0.02      
43 A 230 228 0.06      
44 A 218 216 0.04      
45 A 99 98 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 34729.2 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 34413.1 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 PBEPBE/3-21G
ABC
0.24015 0.11029 0.08462

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -2.955 -0.568 0.339
H2 -2.219 -0.086 -1.220
H3 -2.161 1.024 0.183
C4 -2.104 -0.036 -0.121
H5 -0.766 -1.745 0.040
H6 -0.649 -0.609 1.409
C7 -0.761 -0.670 0.308
H8 0.330 -0.009 -1.447
C9 0.478 -0.005 -0.347
H10 -0.225 2.076 -0.133
H11 1.544 1.913 -0.339
H12 0.784 1.481 1.224
C13 0.652 1.457 0.126
H14 2.643 -0.366 -0.488
H15 1.659 -1.861 -0.364
H16 1.913 -0.831 1.081
C17 1.752 -0.817 -0.014

Atom - Atom Distances (Å)
  H1 H2 H3 C4 H5 H6 C7 H8 C9 H10 H11 H12 C13 H14 H15 H16 C17
H11.78991.78631.10452.50302.54292.19663.78093.54653.83005.18324.35504.14245.66234.84284.93104.7273
H21.78991.79001.10562.53943.10632.19072.56032.83603.13554.35154.17703.52634.92444.34934.78714.2142
H31.78631.79001.10403.10352.54042.20063.15102.88162.22573.84613.15682.84635.04554.81764.56484.3289
C41.10451.10561.10402.17652.18811.54582.77182.59232.82664.14213.52883.14414.77244.18904.26733.9361
H52.50302.53943.10352.17651.78331.10812.53492.17433.86304.34353.76983.50343.71502.46113.01592.6847
H62.54293.10632.54042.18811.78331.10873.07832.17273.12493.77212.54022.75803.80713.16852.59202.7990
C72.19662.19072.20061.54581.10811.10872.16951.55172.83213.52232.80222.56023.50892.77972.78792.5383
H83.78092.56033.15102.77182.53493.07832.16951.10972.52642.52923.09222.17462.52892.52303.09342.1747
C93.54652.83602.88162.59232.17432.17271.55171.10972.20672.19432.18391.54652.19902.19992.18611.5474
H103.83003.13552.22572.82663.86303.12492.83212.52642.20671.78891.79331.10393.78354.37053.80683.5062
H115.18324.35153.84614.14214.34353.77213.52232.52922.19431.78891.79191.10522.53463.77603.11162.7575
H124.35504.17703.15683.52883.76982.54022.80223.09222.18391.79331.79191.10663.13013.80192.57592.7837
C134.14243.52632.84633.14413.50342.75802.56022.17461.54651.10391.10521.10662.76903.50232.78152.5306
H145.66234.92445.04554.77243.71503.80713.50892.52892.19903.78352.53463.13012.76901.79391.79181.1050
H154.84284.34934.81764.18902.46113.16852.77972.52302.19994.37053.77603.80193.50231.79391.79301.1052
H164.93104.78714.56484.26733.01592.59202.78793.09342.18613.80683.11162.57592.78151.79181.79301.1064
C174.72734.21424.32893.93612.68472.79902.53832.17471.54743.50622.75752.78372.53061.10501.10521.1064

picture of Butane, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C4 H2 108.165 H1 C4 H3 107.963
H1 C4 C7 110.854 H2 C4 H3 108.212
H2 C4 C7 110.332 H3 C4 C7 111.205
C4 C7 H5 109.076 C4 C7 H6 109.945
C4 C7 C9 113.630 H5 C7 H6 107.113
H5 C7 C9 108.513 H6 C7 C9 108.352
C7 C9 H8 108.059 C7 C9 C13 111.448
C7 C9 C17 109.976 H8 C9 C13 108.795
H8 C9 C17 108.740 C9 C13 H10 111.640
C9 C13 H11 110.582 C9 C13 H12 109.688
C9 C17 H14 110.904 C9 C17 H15 110.962
C9 C17 H16 109.811 H10 C13 H11 108.159
H10 C13 H12 108.448 H11 C13 H12 108.231
C13 C9 C17 109.759 H14 C17 H15 108.507
H14 C17 H16 108.240 H15 C17 H16 108.334
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.200      
2 H 0.199      
3 H 0.203      
4 C -0.600      
5 H 0.198      
6 H 0.194      
7 C -0.377      
8 H 0.199      
9 C -0.262      
10 H 0.201      
11 H 0.198      
12 H 0.195      
13 C -0.570      
14 H 0.196      
15 H 0.196      
16 H 0.196      
17 C -0.566      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.018 -0.009 -0.028 0.035
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.003 0.164 -0.119
y 0.164 -34.911 0.045
z -0.119 0.045 -34.629
Traceless
 xyz
x -0.233 0.164 -0.119
y 0.164 -0.095 0.045
z -0.119 0.045 0.328
Polar
3z2-r20.655
x2-y2-0.092
xy0.164
xz-0.119
yz0.045


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.604 0.050 -0.032
y 0.050 7.725 -0.004
z -0.032 -0.004 7.081


<r2> (average value of r2) Å2
<r2> 159.094
(<r2>)1/2 12.613