The Scientific World Journal

Research Article

In the Search of Fundamental Inner Bond Strength of Solid Elements

Table 5

Comparison between our calculations at 0 K from Table 1 and (4) and (11), with reported estimation bonds strength of first 5 neighboring atoms inside hcp metals [10].


hcp	¹b. t.		^2,3Reference [10]	⁴Equations (4) and (11)		hcp	¹b. t.		^2,3Reference [10]	⁴Equations (4) and (11)

Be	A, B, 1	12	26.63648	34.654500	36.02	Hf	1	12	63.18858	58.199000	60.49
	C or 2	6	0.81081	1.531527	0.0703		2	6	0.2562	2.572057	0.1181
	D or 3	2	0.2014	0.419663	0.0052		3	2	0.02446	0.704784	0.0088
	E, F, 4	18	0.06083	0.247010	0.0018		4	18	0.00410	0.414830	0.0030
	G or 5	12	0.01951	0.100124	0.0003		5	12	0.00059	0.168149	0.0005
	6	6		0.067685			6	6		0.113670

Mg	1	12	10.26661	20.809000	21.63	Re	1	12	77.23997	79.987500	83.14
	2	6	0.0961	0.919637	0.0422		2	6	0.66184	3.534981	0.1623
	3	2	0.0092	0.251995	0.0031		3	2	0.06507	0.968641	0.0121
	4	18	0.00285	0.148322	0.0010		4	18	0.01845	0.570133	0.0042
	5	12	0.00041	0.060121	0.0001		5	12	0.00272	0.231100	0.0006
	6	6		0.040643			6	6		0.156226

Sc	1	12	30.80765	41.912000	43.56	Co	1	12	61.57229	40.966000	42.58
	2	6	0.24091	1.852266	0.0850		2	6	0.79776	1.810459	0.0831
	3	2	0.02786	0.507550	0.0063		3	2	0.09046	0.496094	0.0062
	4	18	0.00634	0.298740	0.0022		4	18	0.03042	0.291997	0.0021
	5	12	0.00107	0.121092	0.0003		5	12	0.00504	0.118359	0.0003
	6	6		0.081859			6	6		0.080012

Y	1	12	33.92099	41.205500	42.83	Zn	1	12	13.52421	15.612500	16.22
	2	6	0.1627	1.821043	0.0836		2	6	0.06636	0.689982	0.0316
	3	2	0.01822	0.498995	0.0062		3	2	0.00438	0.189066	0.0023
	4	18	0.00298	0.293704	0.0021		4	18	0.00241	0.111282	0.0008
	5	12	0.00049	0.119051	0.0003		5	12	0.00008	0.045108	0.0001
	6	6		0.080479			6	6		0.030493

Ti	1	12	41.89133	44.487000	46.24	Cd	1	12	15.34774	13.378500	13.9
	2	6	0.50957	1.966066	0.0903		2	6	0.03772	0.591252	0.0271
	3	2	0.07548	0.538733	0.0067		3	2	0.00206	0.162012	0.0020
	4	18	0.01884	0.317094	0.0023		4	18	0.00097	0.095359	0.0007
	5	12	0.00393	0.128532	0.0003		5	12	0.00002	0.038653	0.0001
	6	6		0.086889			6	6		0.026130

Zr	1	12	44.28581	48.596500	50.51
	2	6	0.37696	2.147682	0.0986
	3	2	0.04472	0.588499	0.0074
	4	18	0.01056	0.346385	0.0025
	5	12	0.00183	0.140405	0.0004
	6	6		0.094915

b. t. is bond type.
For type 1 nearest neighbor bonds A or B.
For type 4 nearest neighbor bonds E or F.
With .
Equations (4) and (11) with .