Elastic Behavior of Borate Glasses Containing Lead and Bismuth Oxides

Table 1

The room temperature physical and elastic properties of binary borate lead (PB) and bismuth (BB) glasses’ density (𝜌), molar volume (𝑉_𝑚), atomic volume (𝑉_𝑎), ultrasonic longitudinal (𝑉_𝑙) and transverse (𝑉_𝑠) velocities, longitudinal modulus (𝐿), shear modulus (𝐺), bulk modulus (𝐾), Young’s modulus (𝐸), Poisson’s ratio (𝜎), and microhardness (𝐻). PB = (PbO)_X(B₂O₃)_1−X, BB = (Bi₂O₃)_X(B₂O₃)_1−X.

Code	𝑋 (mol%)	𝜌 (kgm^−3)	𝑉𝑚 (cm^3mol^−1)	Velocity (m/s)			Elastic moduli (GPa)				𝐻	𝜎
				𝑉𝑎	𝑉𝑙	𝑉𝑠	𝐿	𝐺	𝐾	𝐸
Pure Borate	0	1838	37.88	7.576	3469	1901	22.12	6.64	13.26	17.08	0.95	0.29
PB1	25	3781	28.57	6.722	4528	2597	77.52	25.50	43.52	64.00	4.17	0.25
PB2	30	4153	27.86	6.795	4235	2390	74.48	23.72	42.86	60.08	3.70	0.27
PB3	35	4439	27.79	7.036	4142	2305	76.16	23.58	44.71	60.17	3.53	0.28
PB4	40	4852	27.01	7.108	3960	2277	76.09	25.16	42.55	63.04	4.14	0.25
PB5	45	5044	27.50	7.535	3747	2197	70.82	24.35	38.36	60.28	4.25	0.24
PB6	50	5252	27.88	7.965	3707	2106	72.17	23.29	41.11	58.78	3.70	0.26
PB7	55	5528	27.87	8.321	3564	2034	70.22	22.87	39.72	57.56	3.68	0.26
PB8	60	5892	27.46	8.580	3279	1836	63.35	19.86	36.87	50.51	3.02	0.27
BB1	35	4907	42.46	8.50	3825	2385	71.79	27.91	34.58	65.98	5.92	0.18
BB2	40	5262	43.36	8.67	3767	2294	74.67	27.69	37.75	66.75	5.44	0.21
BB3	45	5613	44.18	8.84	3692	2196	76.51	27.07	40.42	66.39	4.94	0.23
BB4	50	6035	44.37	8.88	3556	2134	76.31	27.48	39.67	66.98	5.16	0.22
BB5	55	6122	46.98	9.40	3524	2098	76.03	26.95	40.10	66.05	4.93	0.23
BB6	60	6249	49.20	9.84	3479	2054	75.63	26.36	40.48	64.98	4.70	0.23
BB7	65	6502	50.33	10.07	3440	2015	76.94	26.40	41.74	65.41	4.60	0.24
BB8	70	6730	51.57	10.31	3356	1988	75.80	26.60	40.33	65.41	4.79	0.23