18. Micromeritics - Physical Pharmacy Laboratory

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SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Chapter 22 (경구용 고형제) (pp. 563-577)
 내용의 정리/요약
 Hand writing할 것
 Due date: Dec 7 (강의 시작 전)
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Particle Size and Size Distribution

Methods for Determining Particle Size

Particle Shape and Surface Area

Methods for Determining Surface Area

Derived Properties of Powder
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Science and technology of small particles
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Surface diameter(ds)
The diameter of a sphere having the same surface area
as the particle

Volume diameter(dv)
The diameter of a sphere having the same volume as the
particle
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Projected diameter(dp)
The diameter of a sphere having the same observed area
as the particle

Stokes’ diameter(dst)
An equivalent sphere undergoing sedimentation at the
same rate as the asymmetric particle
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
Fig. 181
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Frequency distribution curve
Fig. 18-2
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Cumulative percent curve
Fig. 18-3
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Log-normal distribution curve
Fig. 18-4
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Log-probability curve
Fig. 18-5
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Number of particles per unit weight
e.g. if particle = sphere
d
3
vn
  6g
1 particle
N 
1g

N
Example 18-2
6
d vn 
3
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Based on number distribution of different
particle size

Range : 0.2 - 100m

>200 counts (300-500 counts)
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

장점
particle의 shape을 알 수 있다

단점
번거롭다
operater간 오차가 심하다
only two dimensions (길이, 폭)
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
 1 : Martin
diameter
 2 : Feret’s diameter
 3 : Projected diameter
Fig. 18-7
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

This method uses a series of standard sieves

Range : 44 - 1000m
20 mesh
100 mesh
No opening
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
Mesh number
number of openings per inch
 Sieve opening
actual size of openings between wires

Sieve opening
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

The diameter is obtained by gravity
sedimentation
Andreasen apparatus
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Stoke’s law
h d st   s   0 g
v 
t
180
2
180 h
d st 
 s   0 gt
 v : rate of settling
 h : distance of fall in
time t
 s : density of particle
 0 : density of
dispersion medium
 g : acceleration due to
gravity
 0 : viscosity of medium
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Reynolds number Re
Re 
vd 0
0
 Re > 0.2
 Stoke’s law cannot be used
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

The surface area per unit volume (Sv) or per unit
weight (Sw)
s
Sv 
vd
단위용량당의 표면적
6

d vs
단위중량당의 표면적
Sw
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

The volume in cubic centimeters of gas adsorbed
per gram of adsorbent may be plotted against
the pressure of the gas at constant temperature
𝑝
1
𝑏−1 𝑝
=
+
𝑉(𝑝0 − 𝑝)
𝑉𝑚 𝑏
𝑉𝑚 𝑏𝑝0
𝐴𝑚 𝑁
𝑆𝑤 =
× 𝑉𝑚 𝑐𝑚2 /𝑔
𝑀 𝜌
(18-18)
BET EQ.
(18-19)
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
Fig. 18-10
Fig. 18-11
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

The principle resistance to the flow of a fluid, such
as air, through a plug of compressed powder is the

surface area of the powder
The flow rate through the plug, or bed, is affected
by
 the degree of compression of the particles
 the irregularity of the capillaries
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
Fig. 18-12. The Fisher subsieve sizer
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실






Porosity (공극률)
Packing arrangement (충전배열)
Densities of particles (입자밀도)
Bulkiness (분말용적)
Flow properties (유동성)
Compaction (압축성)
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Void volume (v) : the volume of space
v  Vb  Vp
 
Vb  Vp
Vb
 1
Vp
Vb
 Bulk volume (Vb) : occupied volume
 True volume (Vp)
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
  26%
  48%
Fig. 18-16
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

True density ()
Density of the actual solid material

Granule density (g) (Particle density)
The mass of particles devided by the volume as
determined by the liquid(mercury) displace method

Bulk density (b) (Apparent density)
The mass of a powder divided by the bulk volume
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
Bulk density
Tap density
Granule density
True density
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

Bulkiness(bulk) is specific bulk volume, the
reciprocal of bulk density
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
Light(경질) : low bulk density or
large bulk volume
 Heavy(중질) : high bulk density or
small bulk volume

Light powders
Heavy powders
SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실

A bulk powder is some what analogous to a nonNewtonian liquid(plastic flow, dilatancy)

Flow property is affected by
particle size, shape, porosity, density, surface texture

Measurement : angle of repose() (= f(roughness))
tan  = 
  : coefficient of friction

SKKU Physical Pharmacy Laboratory
성균관대학교 물리약학연구실
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