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All results from a given calculation for C7H16 (3-methylhexane)

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 C1 1A
Energy calculated at B3LYP/CEP-121G*
 hartrees
Energy at 0K-49.212441
Energy at 298.15K-49.229487
Nuclear repulsion energy183.935856
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
4/u)
Dep P Dep U
1 A 3090 2996 46.94      
2 A 3082 2988 111.96      
3 A 3075 2981 50.93      
4 A 3073 2979 78.00      
5 A 3073 2979 101.88      
6 A 3071 2977 30.79      
7 A 3042 2949 39.26      
8 A 3026 2934 33.18      
9 A 3011 2918 18.21      
10 A 3010 2918 10.51      
11 A 3007 2915 50.62      
12 A 3005 2913 53.39      
13 A 2999 2908 59.78      
14 A 2992 2900 38.64      
15 A 2978 2887 11.10      
16 A 2966 2875 9.37      
17 A 1527 1481 8.01      
18 A 1521 1474 10.06      
19 A 1518 1472 1.74      
20 A 1510 1464 3.40      
21 A 1509 1463 2.98      
22 A 1508 1462 9.05      
23 A 1503 1457 0.98      
24 A 1498 1452 0.02      
25 A 1487 1441 0.22      
26 A 1423 1380 7.58      
27 A 1420 1377 2.15      
28 A 1417 1373 1.70      
29 A 1396 1353 0.61      
30 A 1380 1338 0.74      
31 A 1375 1333 2.17      
32 A 1333 1292 0.04      
33 A 1324 1283 1.17      
34 A 1298 1258 1.31      
35 A 1283 1244 0.69      
36 A 1252 1214 3.02      
37 A 1190 1154 0.03      
38 A 1167 1131 6.05      
39 A 1158 1123 0.23      
40 A 1076 1044 1.85      
41 A 1048 1016 0.22      
42 A 1032 1000 0.14      
43 A 1019 988 0.43      
44 A 987 957 3.24      
45 A 964 934 2.45      
46 A 927 899 1.84      
47 A 871 845 0.96      
48 A 860 833 0.53      
49 A 811 786 0.19      
50 A 764 741 2.52      
51 A 733 711 1.71      
52 A 494 479 0.09      
53 A 428 415 0.13      
54 A 368 356 0.11      
55 A 313 304 0.03      
56 A 291 282 0.00      
57 A 255 247 0.01      
58 A 236 229 0.01      
59 A 209 202 0.01      
60 A 150 145 0.01      
61 A 102 98 0.01      
62 A 75 73 0.00      
63 A 60 58 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 47283.9 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 45837.0 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
0.18861 0.03567 0.03213

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.577 0.142 -0.209
H2 -0.594 0.111 -1.313
C3 -0.776 1.613 0.229
C4 -1.723 -0.771 0.303
C5 0.795 -0.416 0.256
C6 -3.120 -0.456 -0.277
C7 2.037 0.260 -0.370
C8 3.357 -0.427 0.040
H9 -0.761 1.698 1.326
H10 0.012 2.266 -0.166
H11 -1.734 2.016 -0.123
H12 -1.763 -0.716 1.403
H13 -1.472 -1.815 0.060
H14 0.833 -1.492 0.021
H15 0.859 -0.344 1.355
H16 -3.860 -1.192 0.067
H17 -3.483 0.535 0.024
H18 -3.109 -0.486 -1.376
H19 2.080 1.319 -0.080
H20 1.942 0.245 -1.468
H21 4.225 0.068 -0.415
H22 3.495 -0.406 1.130
H23 3.372 -1.481 -0.274

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22 H23
C11.10431.54771.55291.55282.61412.62093.98282.19352.20432.20442.17782.16892.17022.17853.55462.94172.85812.90882.81784.80714.32114.2694
H21.10432.16022.15972.16122.78882.79834.21093.08382.51542.51933.07022.52272.52643.07223.77703.21132.58563.18302.54464.90244.79094.3975
C31.54772.16022.56682.56713.16763.17824.61381.10061.09691.09692.78923.50223.50362.78864.17182.92063.52492.88803.48435.27434.80975.1992
C41.55292.15972.56682.54401.54523.95655.09912.84083.52932.81981.10211.10092.67082.82132.19032.20872.19534.35704.19596.05055.29615.1766
C51.55282.16122.56712.54403.95221.54632.57122.83522.82613.52982.81932.67111.10191.10324.72314.38874.23232.18552.17383.52862.83742.8377
C62.61412.78883.16761.54523.95225.20746.48563.57444.15152.83882.17582.16294.09754.30301.09821.09731.09945.49895.24807.36586.76366.5726
C72.62092.79833.17823.95651.54635.20741.54453.57392.85714.16694.30504.09882.16152.17476.08825.54025.29571.09901.10152.19772.19572.1960
C83.98284.21094.61385.09912.57126.48561.54454.81014.29985.64995.30645.02452.73992.82477.25766.90746.61952.16722.17391.09831.09911.0990
H92.19353.08381.10062.84082.83523.57443.57394.81011.77361.77352.61523.80133.79782.60754.42043.23324.19343.19274.15035.52774.75225.4543
H102.20432.51541.09693.52932.82614.15152.85714.29981.77361.76453.80864.34823.85113.13785.19653.90484.33372.27613.08304.75864.57705.0335
H112.20442.51931.09692.81983.52982.83884.16695.64991.77351.76453.12983.84464.34943.80563.85322.29663.11853.87764.29696.27665.89746.1904
H122.17783.07022.78921.10212.81932.17584.30505.30642.61523.80863.12981.75943.04142.64872.53182.53463.09644.59464.78466.30715.27405.4555
H132.16892.52273.50221.10092.67112.16294.09885.02453.80134.34823.84461.75942.32743.04542.46803.09302.55084.73924.27006.01915.27244.8666
H142.17022.52643.50362.67081.10194.09752.16152.73993.79783.85114.34943.04142.32741.76074.70234.76774.30083.07732.54223.75963.08182.5561
H152.17853.07222.78862.82131.10324.30302.17472.82472.60753.13783.80562.64873.04541.76074.96484.62574.81932.51363.08053.82582.64623.2033
H163.55463.77704.17182.19034.72311.09826.08827.25764.42045.19653.85322.53182.46804.70234.96481.76791.77266.45076.17128.19707.47277.2454
H172.94173.21132.92062.20874.38871.09735.54026.90743.23323.90482.29662.53463.09304.76774.62571.76791.77325.61895.63407.73477.12717.1509
H182.85812.58563.52492.19534.23231.09945.29576.61954.19344.33373.11853.09642.55084.30084.81931.77261.77325.64515.10477.41767.06376.6482
H192.90883.18302.88804.35702.18555.49891.09902.16723.19272.27613.87764.59464.73923.07732.51366.45075.61895.64511.76042.50592.53813.0896
H202.81782.54463.48434.19592.17385.24801.10152.17394.15033.08304.29694.78464.27002.54223.08056.17125.63405.10471.76042.52003.09522.5385
H214.80714.90245.27436.05053.52867.36582.19771.09835.52774.75866.27666.30716.01913.75963.82588.19707.73477.41762.50592.52001.77361.7741
H224.32114.79094.80975.29612.83746.76362.19571.09914.75224.57705.89745.27405.27243.08182.64627.47277.12717.06372.53813.09521.77361.7725
H234.26944.39755.19925.17662.83776.57262.19601.09905.45435.03356.19045.45554.86662.55613.20337.24547.15096.64823.08962.53851.77411.7725

picture of 3-methylhexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H9 110.707 C1 C3 H10 111.792
C1 C3 H11 111.793 C1 C4 C6 115.085
C1 C4 H12 109.040 C1 C4 H13 108.430
C1 C5 C7 115.492 C1 C5 H14 108.479
C1 C5 H15 109.044 H2 C1 C3 107.912
H2 C1 C4 107.537 H2 C1 C5 107.654
C3 C1 C4 111.753 C3 C1 C5 111.781
C4 C1 C5 110.003 C4 C6 H16 110.771
C4 C6 H17 112.300 C4 C6 H18 111.102
C5 C7 C8 112.586 C5 C7 H19 110.268
C5 C7 H20 109.210 C6 C4 H12 109.404
C6 C4 H13 108.488 C7 C5 H14 108.248
C7 C5 H15 109.188 C7 C8 H21 111.408
C7 C8 H22 111.197 C7 C8 H23 111.230
C8 C7 H19 108.971 C8 C7 H20 109.343
H9 C3 H10 107.626 H9 C3 H11 107.619
H10 C3 H11 107.086 H12 C4 H13 106.004
H14 C5 H15 105.967 H16 C6 H17 107.269
H16 C6 H18 107.534 H17 C6 H18 107.647
H19 C7 H20 106.260 H21 C8 H22 107.637
H21 C8 H23 107.686 H22 C8 H23 107.493
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.091      
2 H 0.126      
3 C -0.620      
4 C -0.252      
5 C -0.321      
6 C -0.548      
7 C -0.245      
8 C -0.528      
9 H 0.150      
10 H 0.168      
11 H 0.167      
12 H 0.138      
13 H 0.150      
14 H 0.143      
15 H 0.134      
16 H 0.167      
17 H 0.160      
18 H 0.155      
19 H 0.146      
20 H 0.143      
21 H 0.168      
22 H 0.154      
23 H 0.154      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.004 -0.017 -0.073 0.075
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.129 0.426 -0.281
y 0.426 -49.194 0.313
z -0.281 0.313 -48.604
Traceless
 xyz
x -1.230 0.426 -0.281
y 0.426 0.173 0.313
z -0.281 0.313 1.057
Polar
3z2-r22.114
x2-y2-0.935
xy0.426
xz-0.281
yz0.313


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.840 0.018 0.036
y 0.018 11.997 -0.057
z 0.036 -0.057 11.282


<r2> (average value of r2) Å2
<r2> 300.994
(<r2>)1/2 17.349