Third Edition Of Introduction To Scanning Tunneling Microscopy

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Third Edition of Introduction to Scanning Tunneling MicroscopyThe first edition of Introduction to Scanning Tunneling Microscopy was published in 1993. Itsoon became the standard reference book and graduate-level textbook of the field. The secondedition was published in 2007. The accumulated citations is 2078, see the figure below.In 2011, a group at IBM Zurich Research Center made a breakthrough discovery in scanningtunneling microscopy: Using a tip functionalized by a CO molecule to image molecules laid on aNaCl insulated substrate, the details of the molecular wavefunctions, especially the nodalstructures, are directly observed. It provides an intuitive understanding of the basic elements ofthe atomic world: The wavefunctions become an observable objective reality. The discovery wasverified by large number of follow-up publications. A third edition is justified for including therecent discoveries. A book contract was signed by Oxford University Press on May 8, 2019.Attached are the Preface and the Table of Contents of the third edition.

Preface to the Third EditionTen years have passed since the publication of the second edition of Introduction of ScanningTunneling Microscopy (STM). Significant advances in this research field have been made duringthat decade. One of the most important advances is the direct observation of the nodal structurein single molecular wave functions in its pristine state using a CO-functionalized STM tip [1].That publication was reviewed by a Viewpoint article in Physics [2], which commented that thediscovery "will help future generations of chemists in obtaining an intuitive understanding ofmolecular properties that will guide them to novel solutions in all areas of chemistry". Thatadvance came out from two breakthroughs:The first breakthrough took place around 1997, when a group at FU Berlin discovered a reliablemethod to transfer CO molecules from a Cu sample surface to a STM tip and vice versa [3, 4].When a CO molecule is transferred, the carbon atom is always directly attached to the metalsurface. The oxygen atom is always pointing outwards. STM images with a CO-functionalizedtip showed dramatic difference to the images obtained with a metal tip. However, the nature ofthe enhanced resolution was not understood at that time.The second breakthrough came about 2005 when a group at IBM Zurich Laboratory discovered amethod to image organic molecules in pristine state using STM by separating the molecule andthe metal substrate with an ultrathin film of insulator, typically NaCl [5]. By using differentbiases, images of highest occupied molecular orbital (HOMO) and lowest unoccupied molecularorbital (LUMO) are clearly observed, which agrees with the overall charge density contours ofthose wavefunctions calculated using density-functional methods.It is natural to try to image pristine organic molecules by a CO-functionalized STM tip. Ithappened in 2011 with a miracle [1, 2]. The STM images did not resemble the charge densitycontour at all, but resemble the squares of the lateral derivatives of the molecular wavefunctions,which peak at the nodal planes of the molecular wavefunctions. The nodal structure of molecularwavefunctions became directly observed by experiments. The discovery was attributed to the pxand py states at the oxygen end of the CO molecule [1, 2]. To verify the imaging mechanism, anumber of theoretical studies on the subject of derivative rule were published [6-10].Motivated by the success of STM experiments with CO-functionalized tip, many atomic forcemicrocopy (AFM) and inelastic electron tunneling spectroscopy (IETS) experiments using COfunctionalized tips were conducted. The observed sub-molecular features have been attributed tomechanical effects due to the flexibility of the linear-molecule tip [11-15]. However, the STMimages cannot be solely attributed to the effect of Newtonian mechanics. Quantum-mechanicaleffects, described by the derivative rule, always dominate [16-17].

Recognizing that the observation of details in molecular orbital is one of the most significantadvances in STM history, and the importance to understand the role of functionalized STM tips,such as a CO molecule, a group at Linnaeus University did a large-scale theoretical andexperimental study of the role of p-waves of CO molecules on the STM tip. Two reports werepublished on Physical Review B in 2016 and 2017. Four cases were studied: a Cu tip and a Cusample, a CO tip and a Cu sample, a Cu tip and a CO sample, and a CO tip and CO sample.According to the derivative rule in STM imaging, the images should be either like a bun or adonut, respectively. The predictions were beautifully confirmed by careful theoreticalcomputations and STM/AFM experiments [18-19].The main purpose of the third edition is to include the above new developments. The mostsignificant addition is a new chapter, Imaging Molecular Wavefunctions to cover References [1]through [10], and [16] through [19]. A new section Tip Functionalizing is added to the TipTreatment chapter to cover References [2] and [3]. A new section Flexing of Linear Molecules isadded to the chapter of Nanomechanical Effects to cover References [11] through [15]. There areother minor additions as well. See the attached Table of Contents for details.News References:[1] L. Gross, N. Moll, F. Mohn, A. Curioni, G. Meyer, F. Hanke, and M. Person, "HighResolution Molecular Orbital Imaging Using a p-wave STM Tip", Phys. Rev. Lett. 107, 086101(2011).[2] L. Bartels, "Viewpoint: Visualizing Quantum Mechanics", Physics 4, 64 (2011).[3] L. Bartels, G. Meyer, K. H. Rieder, "Controlled Vertical Manipulation of Single COMolecules with the Scanning Tunneling Microscope: A Route to Chemical Contrast", Appl.Phys. Lett. 71, 213 (1997).[4] L. Bartels, G. Meyer, K. H. Rieder, D. Velic, E. Knoesel, A. Hotzel, M. Wolf, and G. Ertl,"Dynamics of Electron-Induced Manipulation of Individual CO Molecules on Cu(111)", Phys.Rev. Lett. 80 (9), 2004-2007 (1998).[5] J. Repp, G. Meyer, S. M. Stojkovic, A. Gourdon, and C. Joachim, "Molecules on InsulatingFilms: Scanning Tunneling Microscopy Imaging of Individual Molecular Orbitals", Phys. Rev.Lett. 94, 026803 (2005).[6] B. Siegert, A. Donarini, and M. Grifoni, "The Role of Tip Symmetry on the STMTopography of π-Conjugated Molecules", Phys. Status Solidi. B 250, 2444-2451 (2013).[7] A. J. Lakin, C. Chiutu, A. M. Sweetman, P. Moriaty, and J. L. Dunn, "Recovering MolecularOrientation from Convoluted Orbitals", Phys. Rev. B 88, 035447 (2013).

[8] A. N. Chaika, "Visualization of Electron Orbitals in Scanning Tunneling Microscopy", JETPLetters, 99, 731-741 (2014).[9] G. Mandi, G. Teobaldi, and K. Palotas, "What is the Orientation of a Tip in a ScanningTunneling Microscope?", Progress in Surface Science, 90, 223-228 (2015).[10] G. Mandi and K. Palotas, "Chen's Derivative Rule Revisited: Role of Tip-OrbitalInterference is STM", Phys. Rev. B 91, 165406 (2015).[11] C. I. Chang, C. Xu, Z. Han, and W. Ho, "Real-Space Imaging of Molecular Structure andChemical Bonding by Single-MoleculeInelastic Tunneling Probe", Science, 344, 885 (2014).[12] P. Hapala, R. Temirov, F. S. Tautz, and P. Jelinek, "Origin of High-Resolution IETS-STMImages of Organic Molecules with Functionalized Tips", Phys. Rev. Lett., 113, 226101 (2014).[13] S. K. Hamalainen, N. van der Heijden, J. van der Lit, S. den Hartog, P. Liljeroth, and I.Swart, "Intermolecular Contrast in Atomic Force Microscopy Images without IntermolecularBonds", Phys. Rev. Lett., 113, 186102 (2014).[14] P. Hapala, G. Kichin, C. Wagner, F. S. Tautz, R. Temirov, and P. Jelinek, "Mechanism ofHigh-Resolution STM/AFM Imaging with Functionalized Tips", Phys. Rev. B 90, 084521(2014).[15] B. de la Torre, M. Svec, G. Foti, O. Krejci, P. Hapala, A. Garcia-Lekue, T. Frederiksan, R.Zhoril, A. Arnau, H. Vazquez, and P. Jelinek, "Submolecular Resolution by Variation of theInelastic Electron Tunneling Spectroscopy Amplitude and its Relation to the AFM/STM Signal",Phys. Rev. Lett., 119, 166001 (2017).[16] O. Krejci, P. Hapala, M. Ondracek, and P. Jelinek, "Principles and Simulations of HighResolution STM Images with a Flexible Tip Apex", Phys. Rev. B 95, 045407 (2017).[17] P. Jelinek, "High-Resolution SPM Imaging of Organic Molecules with FunctionalizedTips", Journal of Physics: Condensed Matter, 29, 343022 (2017).[18] A. Gustafsson and M. Paulsson, " Scanning Tunneling Microscopy Current from LocalizedBasis Orbital Density Functional Theory", Phys. Rev. B 93, 115434 (2016).[19] A. Gustafsson, N. Okabayashi, A. Peronio, F. J. Giessibl, and M. Paulsson, "Analysis ofSTM Images with Pure and CO-Functionalized Tips: A First-Principles and ExperimentalStudy", Phys. Rev. B 96, 085415 (2017).[20] Y. Sugimoto, M. Ondracek, M. Abe, P. Pou, S. Morita, R. Perez, F. Flores, and P. Jelinek,"Quantum Degeneracy in Atomic Point Contacts Revealed by Chemical Force andConductance", Phys. Rev. Lett., 111, 106803 (2013).

Introduction to Scanning Tunneling MicroscopyThird Edition(Bold-faced items are new)Preface to the Third EditionPreface to the Second EditionPreface to the First EditionGalleryChapter 1: Overview1.1 The scanning tunneling microscope1.2 The concept of tunneling1.2.1 Transmission coefficient1.2.2 Semiclassical approximation1.2.3 The Landauer theory1.2.4 Tunneling conductance1.3 Probing electronic structure at atomic scale1.3.1 Experimental observations1.3.2 Origin of atomic resolution in STM1.3.3 Imaging Molecular Wavefunctions1.4 The atomic force microscope1.4.1 Atomic-scale imaging by AFM1.4.2 Role of covalent bonding in AFM imaging1.5 Illustrative applications1.5.1 Catalysis researchNi-Au catalyst for steam reformingUnderstand and improve the MoS2 catalyst1.5.2 Atomic-scale imaging at the liquid-solid interface1.5.3 Atom manipulation1.5.3 Molecule manipulation1.5. 5 Imaging and manipulating DNA using AFMImmobilization and imagingDNA manipulationDNA surgeryPart I PrinciplesChapter 2: Tunneling Phenomenon2.1 The metal--insulator--metal tunneling junction1

2.2 The Bardeen theory of tunneling2.2.1 One-dimensional case2.2.2 Tunneling spectroscopy2.2.3 Energy dependence of tunneling matrix elements2.2.4 Asymmetry in tunneling spectrum2.2.5 Three-dimensional case2.2.6 Error estimation2.2.7 Wavefunction correction2.2.8 The transfer-Hamiltonian formalism2.2.9 The tunneling matrix2.2.10 Relation to the Landauer theory2.3 Inelastic tunneling2.3.1 Experimental facts2.3.2 Frequency condition2.3.3 Effect of finite temperature2.4 Spin-polarized tunneling2.4.1 General formalism2.4.2 The spin-valve effect2.4.3 Experimental observationsChapter 3: Tunneling Matrix Elements3.1 Introduction3.2 Tip wavefunctions3.2.1 General form3.2.2 Tip wavefunctions as Green's functions3.3 The derivative rule in spherical coordinates3.3.1 s-wave tip state3.3.2 p-wave tip states3.3.3 d-wave tip states3.3.4 Complex tip states3.4 The derivative rule: general case3.4.1 Tunneling problem in general curvilinear coordinates3.4.2 The sum rule and the derivative rule3.4.3 Case of spherical coordinates3.5 Derivative rule in parabolic coordinates3.6 Derivative rule with coordinate transformation (Ref. 10)3.7 Correlation with LCAO representation (Ref. 14)Chapter 4: Atomic Forces4.1 Van der Waals force4.1.1 The van der Waals equation of state4.1.2 The origin of van der Waals force4.1.3 Van der Waals force between a tip and a sample4.2 Hard-core repulsion4.3 The ionic bond4.4 The covalent bond: The concept2

4.4.1 Heisenberg's model of resonance4.4.2 The hydrogen molecule-ion4.4.3 Three regimes of interaction4.4.4 Van der Waals force4.4.5 Resonance energy as tunneling matrix element4.4.6 Evaluation of the modified Bardeen integral4.4.7 Repulsive force4.5 The covalent bond: Many-electron atoms4.5.1 The homonuclear diatomic molecules4.5.2 The perturbation approach4.5.3 Evaluation of the Bardeen Integral4.5.4 Comparison with experimental dataChapter 5: Atomic Forces and Tunneling5.1 The principle of equivalence5.2 General theory5.2.1 The double-well problem5.2.2 Canonical transformation of the transfer Hamiltonian5.2.3 Diagonizing the tunneling matrix5.3 Case of a metal tip and a metal sample5.3.1 Van der Waals force5.3.2 Resonance energy between two metal electrodes5.3.3 A measurable consequence5.3.4 Repulsive force5.4 Experimental verifications5.4.1 An early experiment5.4.2 Experiments with frequency-modulation AFM5.4.3 Experiments with static AFM5.4.4 Non-contact atomic force spectroscopy5.4.5 The classical case of Si-Si junction (Ref 20)5.5 Threshold resistance in atom manipulationChapter 6: Nanometer-Scale Imaging6.1 Types of STM and AFM images6.2 The Tersoff--Hamann model6.2.1 The concept6.2.2 The original derivation6.2.3 Profiles of surface reconstructions6.2.4 Extension to finite bias voltages6.2.5 Surface states: the concept6.2.6 Surface states: STM observations6.2.7 Heterogeneous surfaces6.3 Limitations of the Tersoff--Hamann model6.4 Imaging self-assembled films of organic moleculesChapter 7: Atomic-Scale Imaging3

7.1 Experimental facts7.1.1 Universality of atomic resolution7.1.2 Corrugation inversion7.1.3 Tip-state dependence7.1.4 Distance dependence of corrugation7.2 Intuitive explanations7.2.1 Sharpness of tip states7.2.2 Phase effect7.2.3 Arguments based on the reciprocity principle7.3 Analytic treatments7.3.1 A one-dimensional case7.3.2 Surfaces with hexagonal symmetry7.3.3 Corrugation inversion7.3.4 Profiles of atomic states as seen by STM7.3.5 Independent-orbital approximation7.4 First-principles studies: tip electronic states7.4.1 W clusters as STM tip models7.4.2 Density-functional study of a W--Cu STM junction7.4.3 Transition-metal pyramidal tips7.4.4 Transition-metal atoms adsorbed on W slabs7.5 First-principles studies: the images7.5.1 Transition-metal surfaces7.5.2 Atomic corrugation and surface waves7.5.3 Atom-resolved AFM images7.6 Spin-polarized STM7.7 Chemical identification of surface atoms7.8 The principle of reciprocityChapter 8: Imaging Wavefunctions8.1 Experimental condition to image pristine wavefunctions8.1.1 Conditions to observe molecules (Ref. 5)8.1.2 The NaCl buffer layer (Ref. 5)8.2 Imaging HOMO and LUMO states (Ref 5)8.3 Imaging using functionalized tips (Ref. 1-10)8.3.1 CO-functionalized tip8.3.2 Scanning hydrogen microcopy8.3.3 Other functionalizing items8.4 Imaging mechanism studies (Ref. 18,19)8.4.1 First-principle computations (Ref. 18)8.4.2 Experimental verifications (Ref. 19)Chapter 9: Nanomechanical Effects9.1 Mechanical stability of the tip--sample junction9.1.1 Experimental observations9.1.2 Condition of mechanical stability9.1.3 Relaxation and the apparent G z relation4

9.2 Mechanical effects on observed corrugations9.2.1 Soft surfaces9.2.2 Hard surfaces9.2.3 First-principles simulations9.2.4 Advanced topics9.2.5 The Pethica mechanism9.3 Effects of tip flexibility (Ref. 12-17)9.3.1 Experimental observations (Ref. 11-13)9.3.2 The Probe Particle model (Ref. 12)9.3.3 Compare with AFM and IETS experiments9.3.4 Effect to STM measurements (Ref. 16)9.4 Force in tunneling-barrier measurementsPart II InstrumentationChapter 10: Piezoelectric Scanner10.1 Piezoelectricity10.1.1 Piezoelectric effect10.1.2 Inverse piezoelectric effect10.2 Piezoelectric materials in STM and AFM10.2.1 Quartz10.2.2 Lead zirconate titanate ceramicsCurie pointTemperature dependence of piezoelectric constantsDepoling fieldMechanical quality numberCoupling constantsAging10.3 Piezoelectric devices in STM and AFM10.3.1 Tripod scanner10.3.2 Bimorph10.4 The tube scanner10.4.1 Deflection10.4.2 In situ testing and calibration10.4.3 Resonant frequenciesStretching modeBending mode10.4.4 Tilt compensation: the s-scanner10.4.5 Repolarizing a depolarized tube piezo10.5 The shear piezo 265Chapter 11: Vibration Isolation11.1 Basic concepts11.2 Environmental vibration11.2.1 Measurement method11.2.2 Vibration isolation of the foundation5

11.3 Vibrational immunity of STM11.4 Suspension-spring systems11.4.1 Analysis of two-stage systems11.4.2 Choice of springs11.4.3 Eddy-current damper11.5 Pneumatic systemsChapter 12: Electronics and Control12.1 Current amplifier12.1.1 Johnson noise and shot noise12.1.2 Frequency response12.1.3 Microphone effect12.1.4 Logarithmic amplifier12.2 Feedback circuit12.2.1 Steady-state response12.2.2 Transient response12.3 Computer interface12.3.1 Automatic approachingChapter 13: Mechanical design13.1 The louse13.2 The pocket-size STM13.3 The single-tube STM13.4 The Besocke-type STM: the beetle13.5 The walker13.6 The kangaroo13.7 The Inchworm13.8 The matchChapter 14: Tip Treatment14.1 Introduction14.2 Electrochemical tip etching14.3 Ex situ tip treatments14.3.1 Annealing14.3.2 Field evaporation and controlled deposition14.3.3 Annealing with a field14.3.4 Atomic metallic ion emission14.3.5 Field-assisted reaction with nitrogen14.4 In situ tip treatments14.4.1 High-field treatment14.4.2 Controlled collision14.5 Tip functionalization (Ref. 3,4)14.5.1 Attach atoms14.5.2 Attach molecules14.6 Tip treatment for spin-polarized STM14.6.1 Coating the tip with ferromagnetic materials6

14.6.2 Coating the tip with antiferromagnetic materials14.6.3 Controlled collision with magnetic surfaces14.7 Tip preparation for electrochemistry STMPart III: ExtensionsChapter 15: Scanning Tunneling Spectroscopy15.1 Electronics for scanning tunneling spectroscopy15.2 Nature of the observed tunneling spectra15.3 Tip treatment for spectroscopy studies15.3.1 Annealing15.3.2 Controlled collision with a metal surface15.4 The Feenstra parameter15.5 Determination of the tip DOS15.5.1 Ex situ methods15.5.2 In situ methods15.6 Inelastic scanning tunneling spectroscopy15.6.1 Instrumentation15.6.2 Effect of finite modulation voltage15.6.3 Experimental observationsChapter 16: Atomic Force Microscopy16.1 Static mode and dynamic mode16.2 The cantilever16.2.1 Basic requirements16.2.2 Fabrication16.3 Static force detection16.3.1 Optical beam deflection16.3.2 Optical interferometry16.4 Tapping-mode AFM16.4.1 Acoustic actuation in liquids16.4.2 Magnetic actuation in liquids16.5 Non-contact AFM16.5.1 Case of small amplitude16.5.2 Case of finite amplitude16.5.3 Response function for frequency shift16.5.4 Second harmonics16.5.5 Average tunneling current16.5.6 ImplementationAppendix A: Green's FunctionsAppendix B: Real Spherical HarmonicsAppendix C: Spherical Modified Bessel Functions7

Appendix D: Plane Groups and Invariant FunctionsD.1 A brief summary of plane groupsD.2 Invariant functionsPlane group pmPlane group p2gmPlane group p2mmPlane group p4mmPlane group p6mmAppendix E: Elementary Elasticity TheoryE.1 Stress and strainE.2 Small deflection of beamsE.3 Vibration of beamsE.4 TorsionE.5 Helical springsE.6 Contact stress: The Hertz formulas8

Third Edition of Introduction to Scanning Tunneling Microscopy . The first edition of Introduction to Scanning Tunneling Microscopy was published in 1993. It soon became the standard reference book and graduate-level textbook of the field. The second edition was published in 2007.

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