1
|
How can single particle compression and nanoindentation contribute to the understanding of pharmaceutical powder compression? Eur J Pharm Biopharm 2021; 165:203-218. [PMID: 34010689 DOI: 10.1016/j.ejpb.2021.05.009] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/16/2021] [Revised: 05/07/2021] [Accepted: 05/09/2021] [Indexed: 11/23/2022]
Abstract
The deformation behaviour of a powder and, thus, of the individual particles is a crucial parameter in powder compaction and affects powder compressibility and compactibility. The classical approach for the characterization of the deformation behaviour is the performance of powder compression experiments combined with the application of mathematical models, such as the Heckel-Model, for the derivation of characteristic compression parameters. However, the correlation of these parameters with the deformation behaviour is physically often not well understood. Single particle compression and nanoindentation enables the in-depth investigation of the deformation behaviour of particulate materials. In this study, single particle compression experiments were performed for the characterization of the deformation behaviour of common pharmaceutical excipients and active pharmaceutical ingredients (APIs) with various, irregular particle morphologies of industrial relevance and the findings are compared with the results from powder compression. The technique was found useful for the characterization and clarification of the qualitative deformation behaviour. However, the derivation of a quantitative functional relationship between single particle deformation behavior and powder compression is limited. Nanoindentation was performed as complementary technique for the characterization of the micromechanical behavior of the APIs. A linear relationship between median indentation hardness and material densification strength as characteristic parameter derived by in-die powder compression analysis is found.
Collapse
|
2
|
Freund P, Senkovska I, Zheng B, Bon V, Krause B, Maurin G, Kaskel S. The force of MOFs: the potential of switchable metal–organic frameworks as solvent stimulated actuators. Chem Commun (Camb) 2020; 56:7411-7414. [DOI: 10.1039/d0cc02505d] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The force exerted by flexible metal–organic framework through expansion was experimentally evaluated for MIL-53(Al).
Collapse
Affiliation(s)
- Pascal Freund
- Inorganic Chemistry I
- Technische Universität Dresden
- 01062 Dresden
- Germany
| | - Irena Senkovska
- Inorganic Chemistry I
- Technische Universität Dresden
- 01062 Dresden
- Germany
| | - Bin Zheng
- ICGM
- Univ. Montpellier
- CNRS
- ENSCM
- Montpellier
| | - Volodymyr Bon
- Inorganic Chemistry I
- Technische Universität Dresden
- 01062 Dresden
- Germany
| | - Beate Krause
- Leibniz-Institut für Polymerforschung Dresden e.V
- 01069 Dresden
- Germany
| | | | - Stefan Kaskel
- Inorganic Chemistry I
- Technische Universität Dresden
- 01062 Dresden
- Germany
| |
Collapse
|
3
|
Ayorinde JO, Itiola OA, Odeniyi MA. Effects of material properties and speed of compression on microbial survival and tensile strength in diclofenac tablet formulations. Arch Pharm Res 2013; 36:273-81. [PMID: 23471558 DOI: 10.1007/s12272-013-0027-4] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2010] [Accepted: 02/07/2011] [Indexed: 11/24/2022]
Abstract
A work has been done to study the effects of material properties and compression speed on microbial survival and tensile strength in diclofenac tablet formulations. Tablets were produced from three formulations containing diclofenac and different excipients (DC, DL and DDCP). Two types of machines (Hydraulic hand press and single punch press), which compress the tablets at different speeds, were used. The compression properties of the tablets were analyzed using Heckel and Kawakita equations. A 3-dimensional plot was produced to determine the relationship between the tensile strength, compression speed and percentage survival of Bacillus subtilis in the diclofenac tablets. The mode of consolidation of diclofenac was found to depends on the excipient used in the formulation. DC deformed mainly by plastic flow with the lowest Py and Pk values. DL deformed plastically at the initial stage, followed by fragmentation at the later stage of compression, whereas DDCP deformed mainly by fragmentation with the highest Py and Pk values. The ranking of the percentage survival of B. subtilis in the formulations was DDCP > DL > DC, whereas the ranking of the tensile strength of the tablets was DDCP > DL > DC. Tablets produced on a hydraulic hand press with a lower compression speed had a lower percentage survival of microbial contaminants than those produced on a single punch press, which compressed the tablets at a much higher speed. The mode of consolidation of the materials and the speed at which tablet compression is carried out have effects on both the tensile strength of the tablets and the extent of destruction of microbial contaminants in diclofenac tablet formulations.
Collapse
Affiliation(s)
- J O Ayorinde
- Department of Pharmaceutics and Industrial Pharmacy, University of Ibadan, Ibadan, Nigeria.
| | | | | |
Collapse
|
4
|
Abstract
INTRODUCTION Cocrystallization is an effective crystal engineering approach for modifying the crystal structure and properties of drugs. The number of examples of solving drug formulation and manufacture problems by cocrystallization is rapidly growing. An updated review that systematically examines the cocrystal research in the context of drug delivery is timely and valuable. AREAS COVERED Topics covered in this review include nature of cocrystal, impact of cocrystallization on key pharmaceutical properties (both enhancement and deterioration), cocrystal preparation method and future directions in this field. The focus of this review is on the crystal engineering and pharmaceutical literature in the last 5 years. However, classical literature is also examined when relevant. EXPERT OPINION The most effective cocrystal research relies on both in-depth understanding of structure-property relationship and efficient preparation of desired cocrystals. The future cocrystal research will see growth in the areas of designing ternary and higher-order structures, cocrystals between neutral and ionic species, cocrystal polymorphism, cocrystal glasses and thermodynamics of cocrystallization.
Collapse
Affiliation(s)
- Changquan Calvin Sun
- University of Minnesota, College of Pharmacy, Department of Pharmaceutics, 9-127B Weaver-Densford Hall, 308 Harvard Street S.E., Minneapolis, MN 55455, USA.
| |
Collapse
|
5
|
Hamad ML, Bowman K, Smith N, Sheng X, Morris KR. Multi-scale pharmaceutical process understanding: From particle to powder to dosage form. Chem Eng Sci 2010. [DOI: 10.1016/j.ces.2010.01.037] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
6
|
Çelik M, Driscoll CE. An Overview of the Effects of Some Physico-Chemical and Mechanical Characteristics of Particulates on the Compaction and Post-Compaction Properties of Compacts. Drug Dev Ind Pharm 2008. [DOI: 10.3109/03639049309047188] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
|
7
|
Duncan-Hewitt WC. Uniaxial Compaction Modelled using the Properties of Single Crystals. Drug Dev Ind Pharm 2008. [DOI: 10.3109/03639049309047190] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
|
8
|
Lee J. Structural heterogeneity of pharmaceutical compacts probed by micro-indentation. JOURNAL OF MATERIALS SCIENCE. MATERIALS IN MEDICINE 2008; 19:1981-1990. [PMID: 17943416 DOI: 10.1007/s10856-007-3283-3] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/2007] [Accepted: 09/18/2007] [Indexed: 05/25/2023]
Abstract
Indentation has been used for several decades to conveniently assess the hardness and modulus of various compacts. However, this measurement is dependent on the size of the indentation area from a few nanometers to several millimeters, which is determined by the maximum indentation force (MIF). Micro-indentation often loses its ability to give an accurate representation of the hardness due to its relatively small micron-size indentation area compared with the dimensions of the structural inhomogeneity of compacts. This study used a different approach to micro-indentation by examining whether this method can probe the inhomogeneity of compacts with varying MIF. Two typical pharmaceutical excipients, one brittle and one ductile, were used as model compacts. The representative hardness and modulus values were available when the MIF was >1000 mN. Changes in the standard deviation of the indentation hardness reflected the structural inhomogeneity of the compacts, which was found to increase with decreasing MIF to below 800 mN in the case of the microcrystalline cellulose compacts. The information on the structural inhomogeneity obtained by micro-indentation appears to be consistent with the observations from microscopy investigations. Anisotropy and other related structural information could be readily obtained by probing the two different surfaces of compacts with changing MIF, one parallel and the other perpendicular to the compaction pressure direction.
Collapse
Affiliation(s)
- Jonghwi Lee
- Department of Chemical Engineering and Materials Science, Chung-Ang University, 221 Heukseok-dong, Dongjak-gu, Seoul, 156-756, South Korea.
| |
Collapse
|
9
|
Mohapatra H, Eckhardt CJ. Elastic Constants and Related Mechanical Properties of the Monoclinic Polymorph of the Carbamazepine Molecular Crystal. J Phys Chem B 2008; 112:2293-8. [DOI: 10.1021/jp077014c] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Himansu Mohapatra
- Department of Chemistry, Center for Materials Research and Analysis, University of NebraskaLincoln, Lincoln, Nebraska 68588-0304
| | - Craig J. Eckhardt
- Department of Chemistry, Center for Materials Research and Analysis, University of NebraskaLincoln, Lincoln, Nebraska 68588-0304
| |
Collapse
|
10
|
Rouèche E, Serris E, Thomas G, Périer-Camby L. Influence of temperature on the compaction of an organic powder and the mechanical strength of tablets. POWDER TECHNOL 2006. [DOI: 10.1016/j.powtec.2005.12.005] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
|
11
|
Bandyopadhya R, Grant DJW. Plasticity and slip system of plate-shaped crystals of L-lysine monohydrochloride dihydrate. Pharm Res 2002; 19:491-6. [PMID: 12033385 DOI: 10.1023/a:1015151830473] [Citation(s) in RCA: 56] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
PURPOSE To identify the slip system of L-lysine monohydrochloride dihydrate (LH) and to relate it to the deformation behavior under uniaxial compression. METHODS The indentation hardness of the [100] face and the indentation moduli of the [100] and [011] faces of plate-shaped single crystals of LH (LHP) were determined using Knoop and Berkovich indenters, respectively. The deformation behavior during uniaxial compression was studied by the punch-stress vs. punch-displacement profile and by electron microscopy of the deformed crystals within cracked compacts. RESULTS The different indentation (elastic) moduli of the [100] and [011] faces of the crystals are consistent with the molecular packing density along these planes and suggest anisotropy. The existence of the [001] <100> slip system is proposed based on the pattern of changing indentation hardness with varying orientation of the Knoop indenter. A jagged uniaxial compression profile suggests deformation by mechanical twinning and not simple slip. The hypothesis of deformation by mechanical twinning is supported by the appearance of twin bands along the crystal faces as observed by electron microscopy of the cracked compacts. CONCLUSIONS During compression, most LHP crystals have their [100] faces oriented normal to, or inclined to, the compression axis, thereby facilitating plastic deformation along the [001] <100> slip system by mechanical twinning. Due to the low attachment energy between them, the [001] planes can also act as cleavage planes. This study demonstrates that knowledge of the crystal structure and slip systems can be used to model the tableting and compaction behavior of molecular crystals, such as LH.
Collapse
Affiliation(s)
- Rebanta Bandyopadhya
- Department of Pharmaceutics, College of Pharmacy, University of Minnesota, Minneapolis 55455-0343, USA
| | | |
Collapse
|
12
|
Roberts RJ, Rowe RC. Brittle-ductile transitions in sucrose and the influence of lateral stresses during compaction. J Pharm Pharmacol 2000; 52:147-50. [PMID: 10714943 DOI: 10.1211/0022357001773788] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/31/2022]
Abstract
Sucrose, in a range of particle sizes, has been compacted to investigate both the effect of brittle-ductile transition and the effect of lateral stresses on the deformation stress as measured using Heckel plots. All particles with a diameter greater than 30 microm exhibited cracking in line with both theoretical predictions and literature data from hammer and ball milling. In addition, crack lengths in compressed particles examined microscopically were very similar to those predicted from the deformation stress, confirming the applicability of the model.
Collapse
Affiliation(s)
- R J Roberts
- Zeneca Pharmaceuticals, Macclesfield, Cheshire, UK
| | | |
Collapse
|
13
|
Roberts RJ, Payne RS, Rowe RC. Mechanical property predictions for polymorphs of sulphathiazole and carbamazepine. Eur J Pharm Sci 2000; 9:277-83. [PMID: 10594385 DOI: 10.1016/s0928-0987(99)00065-2] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Abstract
The mechanical properties of polymorphs of sulphathiazole and carbamazepine have been determined experimentally by three-point beam bending. It is shown that the mechanical properties of sulphathiazole and carbamazepine polymorphs can be predicted using the atom-atom potential model applied to lattice dynamics, as long as account is taken of crystal morphology when considering the experimental results.
Collapse
Affiliation(s)
- R J Roberts
- ZENECA Pharmaceuticals, Silk Road Business Park, Charter Way, Macclesfield, Cheshire, UK.
| | | | | |
Collapse
|
14
|
Lum SK, Hoag SW, Duncan-Hewitt WC. Powder densification. 2. Viscoelastic material properties in modeling the uniaxial compaction of powders. J Pharm Sci 1998; 87:909-16. [PMID: 9687332 DOI: 10.1021/js9801079] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Abstract
A micromechanical model for predicting the densification of particulate matter under hydrostatic loading was developed to account for the time-dependent response of materials to applied loads. Viscoelastic material response used in the analysis was based upon a standard three-parameter rheological model. Compaction data under closed die conditions were collected using an Instron analyzer for different rates of applied load. Densification during the loading phase of PMMA/coMMA powder, a pharmaceutical polymeric coating material, was well predicted by the proposed algorithm, which contrasts with the prediction implied through a static indentation model. Secondary factors which affect compaction such as die-wall friction are also briefly discussed.
Collapse
Affiliation(s)
- S K Lum
- Faculty of Pharmacy, University of Toronto, 19 Russell Street, Toronto, Ontario, Canada M5S 2S2.
| | | | | |
Collapse
|
15
|
Duncan-Hewitt W. Modeling the Compression Behavior of ParticleAssemblies from the Mechanical Properties of Individual Particles. DRUGS AND THE PHARMACEUTICAL SCIENCES 1995. [DOI: 10.1201/b14207-14] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
|
16
|
Eriksson M, Alderborn G. The effect of particle fragmentation and deformation on the interparticulate bond formation process during powder compaction. Pharm Res 1995; 12:1031-9. [PMID: 7494798 DOI: 10.1023/a:1016214616042] [Citation(s) in RCA: 53] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
PURPOSE The compression behaviour and the compactability of particles have been studied. In addition, an expression describing the bond strength over a tablet cross section was derived and these calculated values were compared with the experimentally determined tablet tensile strength values. METHODS The compression behaviour of particles of a series of size fractions of four materials were assessed by tablet surface areas (particle fragmentation propensity) and by yield pressures (particle deformability), derived from in die Heckel profiles. The porosity and the tensile strength of the tablets were also determined. RESULTS Sodium chloride and sodium bicarbonate possessed limited fragmentation while the converse applied for sucrose and lactose. Sodium chloride and sodium bicarbonate were the extreme materials with respect to particle deformability and compactability. Except for sodium chloride, a limited effect of original particle size on the compactability of the particles was observed. CONCLUSIONS The observations on the compactability of the powders was explained by postulating that fragmentation affects mainly the number of bonds in a compact cross section, while deformation affects mainly the bonding force of these bonds, through a relationship with the contact area between a pair of particles. The deviations between the predicted strength of particle-particle bonds and the determined tensile strength values was explained by a high bonding capacity of some particles, e.g. due to an unpredicted high surface deformability, or by a fracture mechanic effect during tablet strength determination.
Collapse
|
17
|
Podczeck F, Newton J, James M. Adhesion and friction between powders and polymer or aluminium surfaces determined by a centrifuge technique. POWDER TECHNOL 1995. [DOI: 10.1016/0032-5910(94)02955-n] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
|
18
|
Mauran S, L'Haridon F. Compression uniaxiale d'un mélange binaire poreux très déformable dans un moule cylindrique. POWDER TECHNOL 1995. [DOI: 10.1016/0032-5910(94)02951-j] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
|
19
|
Abstract
A 1H-nuclear magnetic resonance (NMR) microscopy method was utilized for the first time to determine the porosity distribution of physically intact tablets. The main advantage of this newly developed method was that porosity cross sections through whole tablets or specific locations could be obtained without mechanically destroying the tested tablet. This was achieved by filling tablet cavities with silicone oil under vacuum. The amount of silicone oil locally within the tablet was then determined by 1H-NMR microscopy, revealing the inverse inner structure. To reduce the measuring time, a paramagnetic gadolinium complex was added to the silicone oil. The cross sectional signals produced by 1H-NMR microscopy through the tablet were transformed into a color image by a specially designed computer graphic program. To improve the signal-noise ratio an algorithm of 3D-filtering was introduced. The maximal spatial resolution achieved with this method was about 95 microns for a cube's edge length corresponding to some 380,000 positions in a 9-mm-diameter compression-coated tablet. Uneven porosity distributions within tablets, cracks, or cavities could be visualized with this newly developed method. Different compaction mechanisms were observed with plastic- or brittle-type tablets. The different states of densification during compaction of powders could be detected. The integrity of compression coatings was determined to be dependent on the pressure load and the location of the core within the coat.
Collapse
Affiliation(s)
- G Nebgen
- Pharma Operations Manufacturing, POMF-DL, F. Hoffmann-La Roche LTD, Basel, Switzerland
| | | | | | | |
Collapse
|
20
|
Torrado-Durán JJ, Torrado S, Cadórniga R, Augsburger LL. Tableting characteristics of micro-aggregated egg albumin particles containing paracetamol. J Pharm Pharmacol 1995; 47:115-9. [PMID: 7602464 DOI: 10.1111/j.2042-7158.1995.tb05761.x] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Abstract
The tableting characteristics of micro-aggregated egg albumin particles containing paracetamol were evaluated and compared with non-micro-encapsulated paracetamol and coagulated egg albumin particles. Mean yield pressure values of micro-aggregated egg albumin particles containing paracetamol and coagulated egg albumin particles were 30.5 and 49.3 MPa, respectively, which were lower than the mean yield pressure obtained for paracetamol (97.5 MPa). Paracetamol tablets obtained with micro-aggregated egg albumin particles did not show the capping characteristic of conventional paracetamol tablets. Crushing strength of paracetamol tablets obtained with egg micro-aggegated particles was similar to that obtained using paracetamol granulated with povidone and gelatin as binders at 3 and 6% (w/w) concentrations. Drug release from the paracetamol tablets depends on the choice of excipients. Crospovidone showed good protective characteristics for the tableting of micro-aggregated particles. Crushing strength of paracetamol tablets formed from egg albumin-coated particles could be increased using crospovidone or microcrystalline cellulose as fillers and was decreased by the use of magnesium stearate. Nevertheless, magnesium stearate was useful to decrease the ejection force.
Collapse
|
21
|
|
22
|
Duncan-Hewitt WC, Papadimitropoulos EA. Deformation kinetics of potassium bromide crystals predict tablet stress relaxation. J Pharm Sci 1994; 83:91-5. [PMID: 8138918 DOI: 10.1002/jps.2600830121] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
A model relating the interparticulate contact stress within a tablet matrix with the compaction stress was developed previously to permit the nonlinear deformation kinetic analysis of the viscoelastic behavior of pharmaceutical tablets with the known properties of the tablet constituents. The present research was undertaken to determine whether the inverse operation (i.e., using tablet stress relaxation to determine single crystal properties) was possible. The stress relaxation of potassium bromide (KBr) compacts was evaluated as a function of temperature and relative density, and an attempt was made to calculate the deformation kinetic parameters. The stress relaxation of KBr did not fit the model under ambient conditions for two reasons: (1) KBr has two slip systems with approximately the same shear stress at room temperature; and (2) KBr strain-hardens. When these complications were taken into consideration, the stress relaxation behavior could be explained. Therefore, whereas single crystal tests are capable of yielding parameters that can be used to predict compact behavior, the inverse process of quantifying fundamental material parameters from compact behavior is problematic due to the difficulty of determining, a priori, all the processes that operate simultaneously.
Collapse
|
23
|
|
24
|
Duncan-Hewitt WC, Weatherly GC. Modeling the uniaxial compaction of pharmaceutical powders using the mechanical properties of single crystals. II: Brittle materials. J Pharm Sci 1990; 79:273-8. [PMID: 2338639 DOI: 10.1002/jps.2600790319] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Abstract
A model is presented which uses the hardness and elastic moduli of brittle crystals, determined using the Vickers microindentation test, to predict the uniaxial compaction behavior of compacts. A general approach first developed in the materials science field to predict the densification of particulate matter under hydrostatic loading was followed. Modifications to account for the effects of particle geometry and the closed-die loading conditions were considered. The model predicted the densification behavior of sucrose and adipic acid. It did not predict the densification of acetaminophen as well; however, the discrepancy between the experimental and predicted values may arise either from error associated with the evaluation of the elastic modulus using the microindentation test or from error in calculating the relative density of compacts which were observed to have partially laminated. The effects of error both in the hardness value and in the ratio of punch to die-wall stress on the predictive capability of the model were also discussed briefly.
Collapse
|