Exploring Scanning Probe Microscopy with MATHEMATICA

311 Pages·2007·5.59 MB·english

by  Dror Sarid

DrorSarid
Exploring Scanning
Probe Microscopy
with MATHEMATICA
Second, Completely Revised and Enlarged Edition
WILEY-VCH Verlag GmbH & Co. KGaA

DrorSarid
ExploringScanningProbeMicroscopy
withMATHEMATICA
1807–2007 Knowledge for Generations
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DrorSarid
Exploring Scanning
Probe Microscopy
with MATHEMATICA
Second, Completely Revised and Enlarged Edition
WILEY-VCH Verlag GmbH & Co. KGaA
TheAuthor AllbookspublishedbyWiley-VCHarecarefully
produced.Nevertheless,authors,editors,and
publisherdonotwarranttheinformation
Prof.DrorSarid
containedinthesebooks,includingthisbook,to
CollegeofOpticalScience
befreeoferrors.Readersareadvisedtokeepin
UniversityofArizona
mindthatstatements,data,illustrations,
Tucson,Arizona85721
proceduraldetailsorotheritemsmay
USA
inadvertentlybeinaccurate.
[email protected]
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ISBN: 978-3-527-40617-3
ToLea,Rami,Uri,Karen,andDanieli

7
Contents
Preface 17
1 Introduction 22
1.1 Style 22
1.2 MathematicaPreparation 23
1.2.1 General 23
1.2.2 Example 24
1.3 RecommendedBooks 25
1.3.1 MathematicaProgrammingLanguage 25
1.3.2 ScanningProbeMicroscopies 26
2 UniformCantilevers 27
2.1 Introduction 27
2.2 BendingDuetoFz 30
2.2.1 GeneralEquations 30
2.2.2 Slope 31
2.2.3 AngularSpringConstant 31
2.2.4 Displacement 32
2.2.5 LinearSpringConstant 32
2.2.6 NumericalExample:Si 33
2.2.7 NumericalExample:PtIr 33
2.3 BucklingDuetoFx 36
2.3.1 GeneralEquations 36
2.3.2 Slope 36
2.3.3 AngularSpringConstant 36
2.3.4 Displacement 37
2.3.5 LinearSpringConstant 37
2.3.6 NumericalExample:Si 37
2.3.7 NumericalExample:PtIr 39
2.4 TwistingDuetoFy 40