Determination of sizes and concentration ratio in binary mixtures of spherical and rodlike particles by measuring n<sup>(2)</sup>(T)

M. A. Rebolledo; F. Moreno; M. P. Cagigal

doi:10.1364/AO.23.003869

Applied Optics
Vol. 23,
Issue 21,
pp. 3869-3872
(1984)
•https://doi.org/10.1364/AO.23.003869

Determination of sizes and concentration ratio in binary mixtures of spherical and rodlike particles by measuring n⁽²⁾(T)

M. A. Rebolledo, F. Moreno, and M. P. Cagigal

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M. A. Rebolledo, F. Moreno, and M. P. Cagigal, "Determination of sizes and concentration ratio in binary mixtures of spherical and rodlike particles by measuring n⁽²⁾(T)," Appl. Opt. 23, 3869-3872 (1984)

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Abstract

In this paper we study the errors involved in the determination of the sizes and concentration ratio in a binary solution of spherical and rodlike particles. This information is obtained by measuring the normalized second-order factorial moment of the laser light scattered by the particles. The results can be applied to the study of polydisperse bimodal solutions of spherical and rodlike particles.

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Equations (13)

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	α = 0.3		α = 0.6		α = 1		α = 1.7		α = 3
Θ°	e_{C_rs}(%)	e_d(%)	e_{C_rs}(%)	e_d(%)	e_{C_rs}(%)	e_d(%)	e_{C_rs}(%)	e_d(%)	e_{C_rs}(%)	e_d(%)
15	0.274	0.0581	0.262	0.0653	0.313	0.0877	0.0276	0.108	0.00752	0.154
45	0.322	0.0551	0.301	0.0655	0.101	0.0892	0.0216	0.110	0.00711	0.156
75	0.200	0.0590	0.120	0.0713	0.0945	0.0765	0.0161	0.115	0.00535	0156
105	0.158	0.0662	0.0673	0.0760	0.400	0.0927	0.0147	0.119	0.00502	0.169
135	0.297	0.0827	0.0771	0.0748	1.91	0.121	0.0168	0.121	0.00499	0.184
165	0.306	0.0812	0.0980	0.0788	0.282	0.103	0.0184	0.132	0.00536	0.161

	α = 0.3		α = 0.6		α = 1		α = 1.7		α = 3
d(Å)	e_{C_rs}(%)	e_d(%)	e_{C_rs}(%)	e_d(%)	e_{C_rs}(%)	e_d(%)	e_{C_rs}(%)	e_d(%)	e_{C_rs}(%)	e_d(%)
150	2.00	0.721	1.68	0.781	0.820	0.563	0.440	0.388	0.281	0.361
450	3.15	0.421	1.40	0.340	1.57	0.534	0.149	0.125	0.0626	0.133
750	0.383	0.0555	0.106	0.0587	0.310	0.113	0.0239	0.0923	0.00474	0.140
1050	0.158	0.0662	0.0673	0.0760	0.400	0.0927	0.0147	0.119	0.00536	0.161
1350	0.0882	0.0591	0.0392	0.0733	0.0555	0.0901	0.0188	0.117	0.00232	0.173
1650	0.0265	0.113	0.0185	0.156	0.00836	0.202	0.0164	0.337	0.00319	0.583
1950	0.0146	0.0812	0.00693	0.132	0.00836	0.207	0.0141	0.532	0.00494	1.50
2250	0.0182	0.160	0.0196	0.663	0.0118	0.611	0.00207	0.00761	0.000541	0.0980

	α = 0.3		α = 0.6		α = 1		α = 1.7		α = 3
Θ°	e_{C_rs}(%)	e_L(%)	e_{C_rs}(%)	e_L(%)	e_{C_rs}(%)	e_L(%)	e_{C_rs}(%)	e_L(%)	e_{C_rs}(%)	e_L(%)
15	0.104	14.1	0.124	8.77.	0.0300	8.48	0.0137	7.77	0.00739	7.23
45	0.0977	0.787	0.163	0.555	0.108	0.439	0.0118	0.349	0.00830	0.313
75	0.0409	0.288	0.0373	0.179	0.120	0.158	0.0243	0.113	0.00667	0.100
105	0.0589	0.219	0.0623	0.134	0.929	0.136	0.0137	0.0816	0.00497	0.0683
135	0.0599	0.166	0.0414	0.0962	1.08	0.0739	0.0191	0.0567	0.00992	0.0454
165	0.0189	0.126	0.0134	0.0778	0.327	0.0762	0.0112	0.0459	0.00344	0.0374

	α = 0.3		α = 0.6		α = 1		α = 1.7		α = 3
d (Å)	e_{C_rs}(%)	e_L(%)	e_{C_rs}(%)	e_L(%)	e_{C_rs}(%)	e_L(%)	e_{C_rs}(%)	e_L(%)	e_{C_rs}(%)	e_L(%)
160	0.184	0.00641	0.0905	0.0296	0.0849	0.0185	0.135	0.0366	0.142	0.0389
460	1.33	0.645	2.51	1.02	0.717	0.264	0.0749	0.0682	0.0424	0.0538
750	0.135	0.179	0.215	0.120	0.0628	0.0810	0.0203	0.0636	0.0143	0.0565
1050	0.0768	0.202	0.0595	0.126	0.978	0.112	0.0181	0.0728	0.00561	0.0615
1350	0.0305	0.197	0.0314	0.117	0.0297	0.104	0.0129	0.0664	0.00378	0.0524
1660	0.0199	0.433	0.0146	0.254	0.0233	0.190	0.0193	0.139	0.00549	0.115
1950	0.0121	0.234	0.00601	0.127	0.00584	0.0951	0.0178	0.0726	0.00217	0.0571
2250	0.00697	0.404	0.00351	0.209	0.00571	0.126	0.0258	0.102	0.00382	0.0797

	α = 0.3			α = 0.6			α = 1
Θ°	e_{C_rs}(%)	e_d(%)	e_L(%)	e_{C_rs}(%)	e_d(%)	e_L(%)	e_{C_rs}(%)	e_d(%)	e_L(%)
15	0.186	0.0704	6.43	0.146	0.141	7.66	0.497	0.226	7.77
45	0.119	0.313	5.51	0.224	0.334	4.39	0.401	0.487	3.88
75	0.0760	0.401	3.50	0.322	0.190	0.654	0.126	0.0839	0.203
105	0.187	0.187	0.667	0.300	0.138	0.288	0.679	0.497	0.547
135	0.166	0.314	1.00	0.190	0.301	0.452	0.689	0.429	0.388
165	0.160	0.206	0.552	0.107	0.264	0.341	0.502	0.307	0.231
	α = 1.7			α = 3
Θ°	e_{C_rs}(%)	e_d(%)	e_L(%)	e_{C_rs}(%)	e_d(%)	e_L(%)

15	0.106	0.348	6.09	0.101	0.283	5.90
45	0.0935	0.417	2.17	0.0992	0.621	1.32
75	0.105	0.303	0.426	0.102	0.982	0.564
105	0.0773	0.261	0.227	0.0956	0.183	0.111
135	0.100	0.536	0.284	0.102	0.746	0.212
165	0.105	0.448	0.207	0.106	0.593	0.159

Abstract

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Tables (6)

Equations (13)

Applied Optics