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All results from a given calculation for NH2CH2CH2COOH (β–alanine)

using model chemistry: PBEPBE/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-323.498768
Energy at 298.15K-323.508497
Nuclear repulsion energy246.476923
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/cc-pVTZ
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 3501 3477 6.27      
2 A 3417 3393 0.76      
3 A 3049 3028 6.48      
4 A 3006 2986 23.08      
5 A 2982 2962 721.52      
6 A 2958 2937 8.19      
7 A 2936 2916 138.61      
8 A 1777 1765 381.29      
9 A 1598 1587 24.52      
10 A 1466 1456 114.80      
11 A 1455 1445 75.07      
12 A 1409 1399 7.63      
13 A 1363 1354 11.48      
14 A 1314 1305 9.89      
15 A 1267 1258 2.72      
16 A 1246 1237 17.99      
17 A 1196 1188 86.72      
18 A 1109 1102 7.75      
19 A 1046 1039 6.88      
20 A 1008 1001 49.64      
21 A 982 975 25.65      
22 A 929 922 1.48      
23 A 890 884 22.58      
24 A 833 828 42.72      
25 A 785 779 20.06      
26 A 671 666 8.58      
27 A 557 554 1.57      
28 A 477 473 8.35      
29 A 398 396 10.22      
30 A 321 319 7.00      
31 A 286 284 11.70      
32 A 196 194 4.50      
33 A 87 86 0.33      

Unscaled Zero Point Vibrational Energy (zpe) 23256.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 23096.1 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/cc-pVTZ
ABC
0.23822 0.08333 0.06577

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.903 0.583 0.145
C2 1.372 -0.704 -0.356
C3 0.010 -1.002 0.280
C4 -1.088 0.039 0.022
O5 -0.669 1.319 -0.057
O6 -2.258 -0.266 -0.080
H7 2.686 0.907 -0.423
H8 2.246 0.484 1.103
H9 2.058 -1.550 -0.178
H10 1.256 -0.607 -1.446
H11 -0.373 -1.968 -0.071
H12 0.125 -1.093 1.374
H13 0.336 1.320 0.049

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.48002.47243.04242.68284.25221.02001.02172.16342.08923.42562.73471.7341
C21.48001.53252.59802.89013.66712.07942.07421.10331.09982.17372.16822.3099
C32.47241.53251.53502.44212.41183.36082.80762.16862.16451.09681.10402.3560
C43.04242.59801.53501.34961.21293.89773.53273.53022.84022.13232.13981.9155
O52.68282.89012.44211.34962.24393.40003.24643.96063.05713.30062.91461.0105
O64.25223.66712.41181.21292.24395.09214.71614.50403.78552.54002.91143.0423
H71.02002.07943.36083.89773.40005.09211.64302.54762.31944.21223.71262.4322
H81.02172.07422.80763.53273.24644.71611.64302.41102.94303.77462.65642.3361
H92.16341.10332.16863.53023.96064.50402.54762.41101.77172.46892.52103.3548
H102.08921.09982.16452.84023.05713.78552.31942.94301.77172.52903.07672.6062
H113.42562.17371.09682.13233.30062.54004.21223.77462.46892.52901.76163.3655
H122.73472.16821.10402.13982.91462.91143.71262.65642.52103.07671.76162.7604
H131.73412.30992.35601.91551.01053.04232.43222.33613.35482.60623.36552.7604

picture of β–alanine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C3 110.299 N1 C2 H9 112.939
N1 C2 H10 107.241 C2 N1 H7 111.225
C2 N1 H8 110.681 C2 C3 C4 115.758
C2 C3 H11 110.428 C2 C3 H12 109.569
C3 C2 H9 109.645 C3 C2 H10 109.531
C3 C4 O5 115.540 C3 C4 O6 122.290
C4 C3 H11 107.058 C4 C3 H12 107.226
C4 O5 H13 107.640 O5 C4 O6 122.158
H7 N1 H8 107.163 H9 C2 H10 107.068
H11 C3 H12 106.344
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.264      
2 C -0.115      
3 C -0.215      
4 C 0.231      
5 O -0.234      
6 O -0.272      
7 H 0.139      
8 H 0.132      
9 H 0.089      
10 H 0.109      
11 H 0.104      
12 H 0.104      
13 H 0.191      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.385 -1.143 0.542 6.510
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.001 1.719 -0.185
y 1.719 -37.533 0.102
z -0.185 0.102 -33.893
Traceless
 xyz
x -3.289 1.719 -0.185
y 1.719 -1.086 0.102
z -0.185 0.102 4.375
Polar
3z2-r28.749
x2-y2-1.469
xy1.719
xz-0.185
yz0.102


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.478 0.342 0.088
y 0.342 7.753 -0.023
z 0.088 -0.023 6.183


<r2> (average value of r2) Å2
<r2> 172.824
(<r2>)1/2 13.146