UNIVERSITI PUTRA MALAYSIA SYNTHESIS AND CHARACTERIZATION OF NANOCOMPOSITE: 2-4-DICHLOROPHENOXY ACETATE-ZINC-ALUMINIUM HYDROTALCITELIKE LAYERS

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UNIVERSITI PUTRA MALAYSIA SYNTHESIS AND CHARACTERIZATION OF NANOCOMPOSITE: 2-4-DICHLOROPHENOXY ACETATE-ZINC-ALUMINIUM HYDROTALCITELIKE LAYERS JUNAINAH BINTI MOHD AMIN FSAS 2003 44

SYNTHESIS AND CHARACTERIZATION OF NANOCOMPOSITE: 2-4- DICHLOROPHENOXY ACETATE-ZINC-ALUMINIUM-HYDROT ALCITE LIKE LAYERS By JUNAINAH BINTI MOHD AMIN Thesis Submitted to the School of Graduate Studies, Universiti Putra Malaysia in Fulfilment of the Requirements for the Degree of Master of Science September 2003

.. 11 Abstract of thesis presented to the Senate of Universiti Putra Malaysia in fulfilment of the requirements for the degree of Master of Science SYNTHESIS AND CHARACTERIZATION OF NANOCOMPOSITE: 2-4- DICHLOROPHENOXYACETATE-ZINC-ALUMINIUM-HYDROT ALCITE LIKE LAYERS By JUNAINAH BINTI MOHD AMIN September 2003 Chairman: Professor Mohd Zobir bin Hussein, Ph.D. Faculty: Science and Environmental Study A direct intercalation of 2,4-dichlorophenoxyacetate (2,4-D) into Zn-Al-Iayered double hydroxide (ZAL) was carried out by spontaneous self-assembly technique to produce Zn- AI-2,4-D nanocomposite (ZAD). The aging process was done by conventional and microwave-assisted methods. For both methods, the results showed that the intercalation process resulted in the expansion of the interlayer spacing from 10.7 A in ZAL to around 19.0-24.6 A in ZAD. Sharp and intense peaks for 003 and 006 reflections indicate wellordered layered structure which exhibit some common features of layered materials, e.g. narrow, symmetrical and strong peaks at low 20values and weaker, less symmetric peaks at higher 20 values. Further characterization of the resulting materials including organicinorganic content, surface area and porosity, thermal analysis and morphology, were also carried out.

III Both ZAL and ZAD have the capacity to neutralize aqueous solutions at different initial ph values. Deintercalation of 2,4-D from the interlayer of ZAD was achieved with sodium carbonate, buffer phosphate, sodium dihydrogen phosphate and sodium acetate solutions. In general, the release percentage of 2,4-D increased with time. Thermal decomposition on ZAL and ZAD was carried out by calcination of the resulting materials for 5 hours at different temperatures. Thermal decomposition of ZAL resulted in the formation ZnO phase. The LDH phase was no longer detected at temperature 300 C. The surface area was found to increase as the temperature increased. This feature indicated that the layered clay-like structure was destroyed due to the formation of new a phase (ZnO phase). For ZADs, the layered structure was retained to at least 400 C. However, at 450 C, the layered structure completely collapsed due to the removal of the structural water and C02 from the interlayer together with the decomposition of the organic moiety of ZAD. The ZnO phase which was already observed in unheated ZAD became more prominent at 225 C. The intensity of the peaks increased as the temperature was increased thereafter. The ZnAh04 spinel phase was also observed at 750 C and became more prominent at 1000 C. The surface area was found to decrease around 150 C, constant at around 225-400 C and increase at around 450-1000 C. ZAD supplemented in the liquid culture media contributed to the multiplication of cultured cells.

IV Abstrak tesis yang dikemukakan kepada Senat Universiti Putra Malaysia sebagai memenuhi keperluan untuk Ijazah Master Sains PENYEDIAAN DAN PENCIRIAN NANOKOMPOSIT: LAPISAN SEAKAN HIDROT ALSIT BAGI 2-4-DIKLOROFENOKSIASETAT -ZINK-ALUMINIUM Oleh JUNAINAH BINTI MOHD AMIN September 2003 Pengerusi: Fakulti: Profesor Mohd Zobir bin Hussein, Ph.D. Sains dan Pengajian Alam Sekitar Penyisipan terus 2,4-diklorofenoksiasetat ke dalam Zn-Al-hidroksida berlapis ganda (ZAL) telah dilakukan dengan kaedah pembentukan sendiri untuk membentuk nanokomposit Zn-AI-2,4-D (ZAD). Proses penua:m dilakukan dengan cara konvensional dan bantuan gelombang mikro. Melalui kedua-dua cara ini, nanokomposit yang terbentuk mengalami p engembangan j arak a ntara r uang u ntuk h idroksida b erlapis g anda t ersebut daripada 10.7 A kepada 19.0-24.6 A. Puncak yang tajam dan bersimetri pada puncak 003 dan 006 dalam corak pembelauan sinar-x menunjukkan bahawa nanokomposit yang diperojehi mempunyai struktur lapisan nano yang lebih tersusun, puncak yang tajam dan bersimetri pada nilai 28 yang tinggi. Pencirian yang lain seperti kandungan organik-tak organik, luas permukaan dan keliangan, analisis terma dan morfologi permukaan juga telah dilakukan. Kedua-dua ZAL dan ZAD menunjukkan kuasa peneutralan dan penimbalan yang baik terhadap larutan akues pada ph awal yang berbeza. Deinterkalasi

v SAMAO PERPUSTJ\K,Ci,}\N &Yc -: P,iJ t,, DUL ia AYS MAL 4 UNIVERSITl PUTR anion 2,4-D daripada ruang antara lapisan ZAD telah dilakukan dalam larntan akues natrium karbonat, penimbal fosfat, natrium dihidrogen fosfat dan natrium asetat. Pada umumnya, peratus pembebasan 2,4-D bertambah dengan masa. Penguraian terma juga telah dikaji dengan memanaskan ZAL dan ZAD selam 5 jam pada suhu-suhu tertentu dan pencirian juga telah dilakukan. Penguraian terma ke atas ZAL membawa kepada pembentukan fasa ZnO. Fasa LDH tidak lagi kelihatan pada suhu 300 DC. Luas permukaannya didapati bertambah dengan kenaikan suhu. Ini menunjukkan bahawa struktur seakan tanah liat berlapis telah runtuh kerana wujudnya fasa barn ( fasa Z no). Bagi ZAD pula, struktur berlapis kelihatan hanya pada suhu sekurang-kurangnya 400 DC. Walaubagaimanapun, pada suhu 450 D C, struktur berlapis runtuh dengan sempurna disebabkan oleh kehilangan air, karbon dioksida serta penguraian sebahagian komponen organik ZAD. Fasa ZnO yang sudah sedia ada pada ZAD yang tidak dipanaskan menjadi lebih jelas pada suhu 225 DC. Keamatan puncaknya bertambah dengan kenaikan suhu pemanasan. Fasa spinal ZnAh04 juga telah dapat dilihat dengan lebih jelas pada suhu 750 DC dan 1000 DC. Luas permukaannya pula berkurang pada suhu sekitar 150 DC, tetap pada 225-4 00 D C d an b ertambah p ada s uhu s ekitar 4 50-1 000 D C. Z AD yang d igunakan dalam media kultura menunjukkan ia membantu multiplikasinya.

VI ACKNOWLEDGEMENTS Alhamdulillah is the first phrase that comes out of my lips when I am typing this thesis, all praises should go to ALLAH for giving me strength and patience to the completion of this thesis. First 0 fall, I would 1 ike tot ake this 0 pportunity to express my deepest thanks tom y project supervisor, Professor Dr. Mohd Zobir bin Hussein who accepted me as his student. His invaluable guidance and constructive advice very meaningful for me to complete this project. My thanks also goes to Dr. Ahmad Tarmizi bin Hashim, Associate Professor Dr. Zulkamain bin Zainal and Dr Asmah binti Hj. Yahaya, who guided me through all the aspects of this work. I would also like to extend my thanks to all laboratory assistants m Chemistry Department who had in one-way or another assisted me by giving a helping hand when needed. My all lab mates for their kindness, helpful suggestions, extremely supportive and always with apparent good cheer. Puan Zaitun Rasul, Jihan, Ida and all their colleagues for their invaluable help in running of the experiments at Malaysian Palm Oil Board (MPOB).

Vll Last but not least, I would like to acknowledge the financial support of this research by the Ministry of Science, Technology and Environment through National Science Scholarship (NSF) and IRP A grant 09-02-04-0032S-EAOOl.

Vlll I certify that an Examination Committee met on 19 September 2003 to conduct the final examination of Junainah Binti Mohd Amin on her Master of Science thesis entitled "Synthesis a nd Characterization of Nanocomposite: 2-4-Dichlorophenoxyacetate--Zinc Aluminium-Hydrotalcite-Like Layers" in accordance with Universiti Pertanian Malaysia (Higher Degree) Act 1980 and Universiti Pertanian Malaysia (Higher Degree) Regulations 198 1. The Committee recommends that the candidates be awarded the relevant degree. Members of the Examination Committee are as follows: HALIM BIN ABDULLAH, Ph.D. Professor Faculty of Science and Environmental Studies Universiti Putra Malaysia (Chairman) MOHD ZOBIR BIN HUSSEIN, Ph.D. Professor Faculty of Science and Environmental Studies Universiti Putra Malaysia (Member) ZULKARNAIN BIN ZAINAL, Ph.D. Associate Professor Faculty of Science and Environmental Studies Universiti Putra Malaysia (Member) ASMAH BINTI HJ. YAHAYA, Ph.D. Faculty of Science and Environmental Studies Universiti Putra Malaysia (Member) AHMAD TARMIZI BIN HASHIM, Ph.D. Malaysian Palm Oil Board (Member) ProfessorlDeputy Dean School of Graduate Studies Universiti Putra Malaysia Date: q JAt-..\ 4

IX This thesis submitted to the Senate of Universiti Putra Malaysia and has been accepted as fulfilment of the requirement for the degree of Master of Science. The members of the supervisory committee are as follows: MOHD ZOBIR BIN HUSSEIN, Ph.D. Professor Faculty of Science and Environmental Studies Universiti Putra Malaysia (Chairman) ZULKARNAIN BIN ZAINAL, Ph.D. Associate Professor Faculty of Science and Environmental Studies Universiti Putra Malaysia (Member) ASMAH BINTI HJ. Y AHAYA, Ph.D. Faculty of Science and Environmental Studies Universiti Putra Malaysia (Member) AHMAD TARMIZI BIN HASHIM, Ph.D. Malaysian Palm Oil Board (Member) AINI IDERIS, Ph.D. ProfessorlDean School of Graduate Studies Universiti Putra Malaysia Date: 3 0 JAN 2004

x DECLARATION I hereby declare that the thesis is based on my original work except for quotations and citations which have been duly acknowledged. I also declare that it has not been previously or concurrently submitted for any other degree at UPM or other institutions. JUNAINAH BINTI MOHD AMIN

Xl TABLE OF CONTENTS Page ABSTRACT ABSTRAK ACKNOWLEDGEMENTS APPROVAL SHEETS DECLARATION LIST OF TABLES LIST OF FIGURES LIST OF ABBREVIATIONS 11 IV VI V11l X XV XV11 XX11l CHAPTER I INTRODUCTION Nanocomposite Nanoscale Regime Composite Nanoporous Materials Hydrota1cite Structure of LDH Application of LDH Intercalation process Methods of Preparation Thermal Stability Microwave Irradiation Applications of Microwave Irradiation Controlled-release Diffusion Surface Area Analysis Hysteresis Loop Plant Growth Regulator Auxins 2,4-dichlorophenoxyacetic acid Plant Tissue Culture Tissue Culture of Palm Oil Liquid Cultures Buffer Effect Previous Work on Intercalation Objectives of the Study 1 1 2 3 4 6 8 10 12 13 15 16 17 19 20 22 23 25 26 28 29 30 30 32 36

XIII Fourier Transform Infrared 82 Kinetic Study 83 IV MICROWAVE-ASSISTED SYNTHESIS OF ZAL AND ZAD NANOCOMPOSITE Powder X-ray Diffraction 94 Fourier Transform Infrared 97 Organic-Inorganic Composition 101 Surface Properties 102 Thermal Analysis 108 Surface Morphology 111 V THERMAL DECOMPOSITION OF ZAL AND ZAD Thermal Decomposition of ZAL Powder X-ray Diffraction 115 Fourier Transform Infrared 115 Surface Properties 118 Surface Morphology 122 Thermal Decomposition of ZAD Powder X-ray Diffraction 125 Fourier Transform Infrared 128 Organic Composition 130 Surface Properties Adsorption-Desorption Isotherm 131 Pore Size Distribution 132 Surface Morphology 138 VI PLANT TISSUE CULTURE Release of2,4-d into Liquid Cultures 144 Commercial 2, 4-D 144 ZAD-Dissolved 145 ZAD-N on-dissolved 146 Controlled-release of2, 4-D in MS Medium 147 Future Study 147 VII CONCLUSIONS 160 REFE RE NCES 163

XIV APPENDICES A Size relationships of chemistry, nanoparticies and solid-state physics. 171 B Regions of the electromagnetic spectrum. 172 C Composition of Murashige and Skoog medium. 173 D Paper published in Proceeding of the Regional C onference For Young Chemist 2001 174 E Paper published in Journal ofnanoscience and Nanotechnology 180 F Paper published in Proceeding of The Annual Workshop National Science Fellowship (NSF) January 2002. 184 G Fitting of accumulation release of2,4-d in sodium carbonate (a), buffer phosphate (b), sodium dihydrogen phosphate (c) and sodium acetate solution (d) with second order kinetics. 191 VITA ]94

xv LIST OF TABLE Page Table 1.1 Physical and chemical properties of 2,4-dichlorophenoxyacetic acid: 1.2 26 Previous works on the intercalation of organic moieties into Mg-AI- LDH. 1.3 Previous works on the intercalation of organic moieties into Zn-AI-LDH 1.4 32 34 Previous works on the intercalation of organic moieties into Cu-Cr, Cu-AI and Li-AI-LDH 35 3.1a Basal spacing of ZAL and ZADs synthesized at ph 7. 50 3.1b Basal spacing of ZAL and ZADs synthesized at ph 10. 50 3.2 Organic and Inorganic composition of ZAL and ZAD 56 3. 3 Surface properties of ZAL and ZAD. 61 3.4 TGAfDTG results for ZAL and ZAD 62 3.5 2 The values ofk, tin and r for release solutions obtained from Equation [3-3] and [3-4]. 4.1 Basal spacing for ZALs and ZADs prepared by using microwave-assisted and conventional- oil bath methods. 4.2 89 97 The organic and inorganic composition of ZAL and ZADs prepared using microwave-assisted and conventional-oil bath methods. 102 4.3 Surface property of ZADMlCs and ZADOBs. 103 4.4 TGAfDTG results for ZALMlC60, ZALOB60, ZADMlC60 and ZADOB60. 5. 1 Summary of the properties of ZAL calcined at various 111

XVI temperatures 124 5.2 Summary of the properties ofzad calcined at various temperatures 143 6.1 The morphology of cultures after 30, 60 and 90 days subcultured 148

XVII LIST OF FIGURES Figure Page 1.1 Schematic cross-section of a porous solid. 4 1.2 Structure of hydrotalcite 7 1.3 Schematic picture of the possible applications of hydrotalcite-like compounds 9 1.4 Schematic illustration of a pillared material 11 1.5 Types of adsorption isotherms 21 1.6 De Boer's five types of hysteresis loop 24 1.7 Structure of 2,4-dichlorophenoxyacetic acid 27 1. 8 Tissue culture of palm oil 29 3.1a PXRD patterns for 2,4-D, ZAL and ZADs synthesized with the use of various concentrations of 2,4-D at ph 7. 51 3.lb PXRD patterns for 2,4-D, ZAL and ZADs synthesized with the use of various concentrations of 2,4-D at ph 10. 52 3.1c Comparison of a PXRD pattern of ZAD and ZAL synthesized under optimum conditions. 53 3.2 FTIR spectra of 2,4-D (a), ZAL (b) and ZAD (c). 55 3.3a Adsorption-desorption isotherms of ZAL and ZAD 59 3.3b Pore size distribution of ZAL and ZAD. 60 3.4a TGA ( ) and DTG (..... ) plot of ZAL 63 3.4b TGA ( ) and DTG (...... ) plot of ZAD 63 3.5a Scanning Electron Micrograph of ZAL at 2,000x 64

XVIII 3.5b Scanning Electron Micrograph of ZAL at 2,OOOx 65 3.5c Scanning Electron Micrograph of ZAD at 2,OOOx 65 3.5d Scanning Electron Micrograph ofzad at 5,OOOx 66 3.6a ph profiles of the release media at various initial ph values for ZAL 68 3.6b ph profiles of the release media, at various initial ph values for ZAD. 69 3.7 a percentage of release of2,4-d from ZAD in sodium carbonate solution (a), buffer phosphate solution (b), sodium dihidrogen phosphate solution (c) and sodium acetate solution (d). 71 3.7b percentage of release of2,4-d from physical mixture of ZAL and 2,4-D in sodium carbonate solution (a), buffer phosphate solution (b), sodium dihidrogen phosphate solution (c) and sodium acetate solution (d) 72 3.8a PXRD patterns of deintercalation products of ZAD after release process in sodium carbonate solution. 78 3.8b PXRD patterns of deintercalation products of ZAD after release process in buffer phosphate solution. 79 3.8c PXRD patterns of deintercalation products of ZAD after release process in sodium dihydrogen phosphate solution. 80 3.8d PXRD patterns of deintercalation products of ZAD after release process in sodium acetate solution. 81 3.9a FI1R spectra of sample recovered from sodium carbonate aqueous solution at various contact times. 84 3.9b FTIR spectra of sample recovered from buffer phosphate aqueous solution at various contact times. 85 3.9c FTIR spectra of sample recovered from sodium dihydrogen phosphate aqueous solution at various contact times. 86

XIX 3.9d FTIR spectra of sample recovered from sodium acetate aqueous solution at various contact times. 87 3.10a-d Fitting of release of2,4-d in sodium carbonate (a), buffer phosphate (b), sodium dihydrogen phosphate (c) and sodium acetate solution (d). 89 3.l la-d Fitting of release of 2,4-D in sodium carbonate (a), buffer phosphate (b), sodium dihydrogen phosphate (c) and sodium acetate solution (d) with Baker and Lonsdale Model. 91 4.1a PXRD patterns for ZAL60MIC (a), ZADMIC15 (b), ZADMIC30 (c), ZADMIC45 (d) and ZADMIC60 (e). 4.1b PXRD patterns for ZALOB60 (a), ZADOB15 (b), ZADOB30 (c), ZADOB45 (d) and ZADOB60 (e). 95 96 4.2a FTIR spectra for 2,4-D (a), ZALMIC60 (b), ZADMICI5 (c), ZADMIC30 (d), ZADMIC45 (e) and ZADMIC60 (t). 99 4.2b FTIR spectra for 2,4-D (a), ZALOB60 (b), ZADOBI5 (c), ZADOB30 (d), ZADOB45 (e) and ZADOB60 (t). 100 4.3a Adsorption-desorption isotherms ofzadmicl5 (a), ZADMIC30 (b), ZADMIC45 (c) and ZADMIC60 (d). 104 4.3b Adsorption-desorption isotherms of ZADOB 15 (a), ZADOB30 (b), ZADOB45 (c) and ZADOB60 (d). 105 4.4a Pore size distribution ofzadmic15 (a), ZADMIC30 (b), ZADMIC45 (c) and ZADMIC60 (d). 106 4.4b Pore size distribution ofzadob15 (a), ZADOB30 (b), ZADOB45 (c) and ZADOB60 (d). 107 4.5a-d TGA( ) and DTG (...... ) plot of ZALMIC60 (a), ZALOB60 (b), ZADMIC60 (c) and ZADOB60 (d). 109 4.6a Scanning Electron Micrograph of ZALMIC60 at 5,000x. 112 4.6b Scanning Electron Micrograph of ZALOB60 at 5,OOOx 112

xx 4.6c Scanning Electron Micrograph of ZADMIC60 at 5,000x 113 4.6d Scanning Electron Micrograph of ZADOB60 at 5,000x 113 4.6e. Scanning Electron Micrograph of ZADMIC45 at 5,000x 114 4.6f Scanning Electron Micrograph ofzadob60 at 5,000x 114 5.11 PXRD patterns for (a) as preparedzal, and its calcined products, (b) 150, (c) 300 and (d) 400 C. 116 5.12 FTIR spectrum for (a) as preparedzal, and its calcined products, (b) 150, (c) 300 and (d) 400 C. 117 Adsorption-desorption isotherms ofzal calcined at (a) 150, (b) 300 and (c) 400 C. 119 Pore size distribution ofzal calcined at (a) 150, (b) 300 and (c) 400 C. 120 5.1.5 Plot of BET surface are versus temperature ofzal 121 5.1.6 Scanning Electron Micrograph of (a) as-preparedzal and its calcined products, (b) 150, (c) 300 and (d) 400 C. 124 5.2.1 PXRD patterns for (a) as preparedzad, and its calcined products, (b) 150, (c) 225, (d) 250, (e) 350, (0400, (g) 450, (h) 750 and (i) 1000 C. 126 Plot of basal spacing ofzad versus temperature of calcinations. 127 5.13 5.1.4 5.2.2 5.2.3 spectrum for (a) as preparedzad, and its calcined products, (b) 150, (c) 225, (d) 250, (e) 350, (t) 400, (g) 450, (h) 750 and (i) 1000 C. 129 5.2.4 Plot of (a) carbon, (b) hydrogen and (c) nitrogen content inzad versus temperature of calcinations. 5.2.5 FTIR 130 Adsorption-desorption isotherms for ZAD calcined at (a) 150, (b) 225, (c) 250, (d) 350, (e) 400, (t), 450, (g) 750 (b) and (h) 1000 0c. 135

6.10 Controlled-release of 2,4-D into MS Media 159 XXll

6.10 Controlled-release of2,4-d into MS Media 159 XX.II

XXIII LIST OF ABBREVIATIONS A ASAP BDDT BET BJH CHNS CRF HT ICP-AES LDH MS NAA PVC PXRD R Rr Angstrom Accelerated Surface Area and Porosity Brunaeur, Demming, Demming and Teller Brenaeur, Emmett and Teller Barret, Johner and Halenda Carbon, Hydrogen, Nitrogen and Sulfur analysis Controlled release formulation Hydrotalcite Inductive Couple Plasma-Atomic Emission Spectroscopy Layered double Hydroxide Murashige and Skoog Medium Naphtaleneacetic acid Polyvinyl chloride Powder X-Ray Diffraction Ratio of Zn2+ to AIH Ratio of Zn2+ to Al 3 + formed Ratio of Zn2+ to A13+ initial SEM STP Scanning Electron Microscopy Standard Temperature and Pressure TGA-DTG Thermogravimetry Analysis Analysis Derivative Themorgravimetry x Fraction of AI3+ in brucite-like layer, x = AI/(AI+Mg)

XXIV ZAL ZAD ZALMIC60 ZADMIC15 ZADMIC30 ZADMIC45 ZADMIC60 ZALOB60 ZADOB15 ZADOB30 ZADOB45 ZADOB60 1 ppmc 5ppmC 10 ppm C 1 ppmc+ Zn 2 +-A1 3 +-NO- 3 -Layered Double Hydroxide Zn 2 + _Al 3 + -2,4-dichlorophenoxyacetate ZAL microwave 60 ZAD microwave 15 ZAD microwave 30 ZAD microwave 45 ZAD microwave 60 ZAL oil bath 60 ZAD oil bath 15 ZAD oil bath 30 ZAD oil bath 45 ZAD oil bath 60 MS liquid medium with 1 ppm 2,4-D commercial MS liquid medium with 5ppm 2,4-D commercial MS liquid medium with 10ppm 2,4-D commercial MS liquid medium with Ippm 2,4-D commercial + 0.1 ppm NAA 0.1 ppmnaa 1 ppmz 5ppmZ 10 ppm Z 1 ppmz + MS liquid medium with 1 ppm 2,4-D ZAD MS liquid medium with 5ppm 2,4-D ZAD MS liquid medium with 10ppm 2,4-D ZAD MS liquid medium with 1 ppm 2,4-D ZAD + 0.1 ppm NAA 0.1 ppm NAA

xxv 1 ppm ZND 5 ppm ZND 10 ppm ZND 1 ppm ZND+ 0.1 ppmnaa 2,4-D e MS liquid medium with 1 ppm 2,4-D ZAD non-dissolved MS liquid medium with 5ppm 2,4-D ZAD non-dissolved MS liquid medium with 10ppm 2,4-D ZAD non-dissolved MS liquid medium with 1 ppm 2,4-D ZAD non- dissolved + 0.1 ppm NAA 2,4-dichlorophenoxyacetate X-ray diffraction angle