Preparation Strategies Spectroscopies PreparationPhotoelectron of heterogeneous catalysts 1 Photoelectron Spectroscopies 2 Energy ranges Photoelectron Spectroscopies 3 Energy The Photoemission Process kinetic energy 0 Ef work function binding energy initial photon energy EB Photoelectron Spectroscopies 4 Photemission - classical • The emitting atom remains unaffected by photoemision (photocation!). • The photoelectron is a single particle unaffected by core- and valence electrons (surface sensitive?). • There is infinite lifetime of the core hole, no coupling to other bound states, no relaxation and electrons behave as particles. Photoelectron Spectroscopies 5 Photoemission – quantum mechanical • Photoemission as superposition of wave functions (photon-ground state; photoelectron-virtual bound state (Rydberg state); virtual bound statecontinuum state (free electron in box): three phase model • Finite lifetime, relaxation by shrinking of bound states, by secondary emission (Auger, shake-off), by bond shortening and LMCT Photoelectron Spectroscopies 6 Photoemission – quantum mechanical Ry M O Photoelectron Spectroscopies 7 The QM picture of photoemission Free atom case and case of a solid with a band structure: note the difference in „Rydberg“ states. Photoelectron Spectroscopies 8 ARUPS: Seeing orbitals The angular resolution of the intensities allow to separate the sstates from the pstates in the sp3 bonding in Si Photoelectron Spectroscopies 9 The Photoemission Process Sudden Approximation: well defined initial and final states (lines in scheme); no wave nature of photons and electrons. High energy spectroscopy without relaxation of system (atom plus first coordination). Ebind = Ephoton – Ekin – Ework function oversimplified: relaxation in energy and in geometry of system causes multiple complications (information) Photoelectron Spectroscopies 10 Towards a picture of photoemission Photoelectron Spectroscopies 11 Koopman´s Theorem, Relaxation The „binding energy“ form photemission equals the inverse of the dissociation energy from the ground state (theoretically accesible). Ekoop = Eadiab + Erelax In reality there is a relaxation process due to: geometry change (Frank Condon effect) nuclear charge change (photocation) vibrational excitation multiple exctitations inside (shakeup) or to the environement of the cation(shake off, LMCT) Photoelectron Spectroscopies 12 Koopman´s Theorem, Relaxation Ekoop = Eadiab + Eshakeoff Example: Ne 1s: E adiab = 892 eV E koop = 870 eV (experimental XPS value) E shakeoff = 16 eV Difference: 6 eV various other relaxations plus various errors: much larger than „chemical shift“ that should be zero for a noble gas. Photoelectron Spectroscopies 13 Time effects; natural widths Characteristic times for photoemission from bound states: 10-13s Born Oppenheimer approx breaks down: XPS „sees“ restructuring of electron shell and thus repositionning of nucleii (bond shortening) Additional relaxation effects by Auger processes shorten core hole lifetime and thus broaden lines: effect decreases for increasing secondary quantum numbers (width increases from f,d,p,s) Typical minimal linewidth in gases: 0.15 eV, in solids 0.55 eV Differntial charging cuases much additional linebroadening (up to several eV). Sample roughness enhances this effect. Photoelectron Spectroscopies 14 Platinum, a practical example Photoelectron Spectroscopies 15 Line profiles Two major causes for profiles above natural Lorentz shape: instrumental effects and final state coupling of the core hole. Unresolved differences in ground state (chemical heterogeniety) add Gaussian components as well as unresolved spin-orbit splittings with Gauss-Lorentz shapes. Differential charging (of sample and instrument parts along electron path) further adds Gaussian components. s-groundstates offer the simplest profiles unless they are multiplet split in paramagnetic samples. Photoelectron Spectroscopies 16 A simple line: oxygen 1s Photoelectron Spectroscopies 17 Solid structure and PE Thermal broadening of the Fermi energy due to the Boltzmann „tail“: UPS of Cu at 450 K blue and 623 K red. The peaks are the He I beta satellites of the light source representing the Cu 4d bad maximum as „ghost“. Photoelectron Spectroscopies 18 Line profile modification by charging Mo oxide on silica model system is Si//SiO2 real catalyst is powder sample after impregnation and calcination. Photoelectron Spectroscopies 19 Core hole functions The quantum mechanical nature of the PE process causes coupling of the core hole during relaxation with the valence DOS (Coster Kronig transitions). Different shapes of valence DOS lead to different peak asymmetries of naturally Lorentzian line profiles. Photoelectron Spectroscopies 20 Lifetime broadening The contribution of core hole lifetime broadening in simple metals is small. Phonon broadening (vibrations of emitting atoms) is significant. Relaxation broadening determines parameter alpha and is unaffected by phonons (temperature). Photoelectron Spectroscopies 21 Frank Condon principle- vib relaxation Photoelectron Spectroscopies 22 Binding Energy Within Koopman´s theorem we discuss the contribution to a EB EBA = Enucl + Eval + E coord nucl: kinetic and potential energies of all core electrons (nb: groud state) val: potential of valence shells; chemical bonding coord: potential from environment, e.g. Madelung potential Photoelectron Spectroscopies 23 Chemical shift difference in EB for the same initial state in two different compounds A, B Eshift = Ecoupl (chargeA-chargeB) + (EcoreA-EcoreB) Ecoupl: two electron coupling integral between core and valence state of an atom: ca. 14 eV Ecore: core potential of inital state in compounds A,B depends on: atom type (quantum numbers) aggregate state, crystal structure (external environment) In atoms and vdW crystals is term 2 small: shift works; in crystals and at surafces is term 2 large: shift concept breaks down Photoelectron Spectroscopies 24 Chemical shift Photoelectron Spectroscopies 25 Photoemission of metal oxides The metal d-states overlap differently with the relatively stable oxygen 2 p states of the „oxo-anions“ Strong effect on chemical shift as the anions are obviously differently „ionic“ Photoelectron Spectroscopies 26 2,8 2,3 1,8 2.5 104 V 2p3/2 V5+ V4+ 1,3 2 104 0,8 4 4,1 4,2 4,3 Intensity (cps) Catalytic Activity per unit area (a.u.) Oxidation state by XPS 4,41.5 104,5 4 4,6 CAT65 4,7 Vox_fit conventional XPS after catalytic operation in attached prep chamber: data at 300 K 1 104 5000 CAT61 0 Photoelectron Spectroscopies 520 518 516 514 Binding Energy (eV) 27 Chemical shift EBexp = Eadiab – ER – ET - EC Eshift = EBA - EBB Eshift = (EadiabA – EadiabB) – (ERA – ERB) – (ETA-ETB) – (ECA – ECB) only this is the chemical shift Photoelectron Spectroscopies 28 BE contributions ER EC ground state final state static ET final state dynamic phonon excitation valence state relaxation mean field change (n-1 approx) LDOS, oxidation state shake up Madelung potential shake off multiplet splitting extraatomic relaxation Photoelectron Spectroscopies 29 Magnitude of energies For nitrogen atoms on finds the following energies: Ionisation of the 1s state E adiab: 450 eV Great care with interpretation of EB exp: 400 eV EC in a classical picture ER: 18 eV Total errors amount to magnitude ET: 22 eV of EC EC: 5 eV Photoelectron Spectroscopies 30 Chemical shift data Photoelectron Spectroscopies 31 Referencing binding energies • Calibration of energy scale necessary due to work function uncertainities of sample-spectrometer array. • Au 4f 7/2 at 84.0 eV and Fermi edge of Au provide primary standards. Linearity check by looking at Cu 2p3/2 at 932.67 eV. • Samples calibrated by „adventitious carbon“ at 285.0 as referred to graphite at 284.6 eV. Photoelectron Spectroscopies 32 Surface differential charging Practical samples are inhomogeneous in geometry and composition and create electrostatic field differences during photoemission across their surface. Photoelectron Spectroscopies 33 Differential charging:practical Photoelectron Spectroscopies 34 Intensity Inelastic mean free path in Cu (Å) I = f(instrument)+ f(electron-photon interaction)+f(electron-electron interaction)+f(atomic abundance) mean free path 14 from: Tanuma at al., SIA 17, 911 (1991). homogeneous sample, lateral and in depth12 10 8 6 200 400 600 800 Kinetic energy (eV) Photoelectron Spectroscopies 35 Practical data of mean free path Photoelectron Spectroscopies 36 Surface sensitivity Photoelectron Spectroscopies 37 Instrumental realisation Photoelectron Spectroscopies 38 In situ XPS Photoelectron Spectroscopies 39 X-rays enter the cell at 55° incidence through an SiNx window (thickness ~ 1000 Å) Hemisphercal electron analyzer (10-9p0) Analyzer input lens mass spectrometer and additional pumping Focal point of analyzer input lens Third differential pumping stage (10-8p0) Second differential pumping stage (10-6p0) Experimental cell supplied by gas lines (p0) First differential pumping stage (10-4p0) Photoelectron Spectroscopies 40 O2 (g) CO2 (g) Normalized count rate (cps/mA) 140 120 H2O (g) 160 CH2O (g) CH3OH (g) 400 °C Exp. localisation of species O 1s Cu2O sub-surface oxygen surface oxygen 100 CH3OH:O2 80 1:2 60 40 3:1 20 6:1 0 542 540 538 536 534 532 530 528 526 In-situ XPS at 0.5 mbar of Cu during methanol oxidation Binding energy (eV) Photoelectron Spectroscopies 41 Non-destructive depth profile Reducing conditions Cu 2O : sub-surface oxygen peak ratio sub-surface oxygen : Cu peak ratio 0.6 CH3OH:O2 = 3:1 CH3OH:O2 = 6:1 0.5 0.4 0.3 0.2 0.1 0.0 6 8 10 12 Oxidizing conditions 14 Inelastic mean free path (Å) Photoelectron Spectroscopies 9 CH3OH:O2 = 1:2 8 7 6 5 4 3 6 8 10 12 Inelastic mean free path (Å) 42 Backgrounds More than 90% of all photoelectrons are scattered and change kinetic energy. The experimental spectrum is thus determined by background effects and not be characteristic lines. Operation modes of the analyser allow to supress the background but modulate the intensity by a variable transmission function Data analysis has to take care of background correction according to diffrent models of scattering. (Analyser in constant pass energy mode with stable transmission function. Photoelectron Spectroscopies 43 The background Photoelectron Spectroscopies 44 background functions and errors Photoelectron Spectroscopies 45 background practical Ru metal on nanotube carbon. The modulation of the constant background is due to plasmon excitations of the carbon Photoelectron Spectroscopies 46 XPS - UPS synchrotron radiation selection rules change: all spectra show Au 5d states Take care about physical conditions when comparing spectral shapes and when assigning „species“ to the spectral weight. Photoelectron Spectroscopies 47 Methodical comparison • XPS • UPS – – – – – – – – – – core states atom specific quantitative complex final state effects (informative) – chemical shift concept (caveats) – theoretically difficult accessible Photoelectron Spectroscopies valence states non-atom specific not quantifiable complex selection rules similarity to DOS theoretically accessible 48 Adsorption Increasing strength of chemisorption leads to d-band splitting Photoelectron Spectroscopies 49 Adsorption experiment Good agreement between theory and experiment withoin the framework of „backbonding“ – strong interaction with weak charge transfer Photoelectron Spectroscopies 50 A practical example: N2 on Ru Note similarity between isoelectronic N2 and CO See charge transfer from Ru d band with increasing coverage Photoelectron Spectroscopies 51 XPS - Referenzspektren der Oxide Photoelectron Spectroscopies 52 XPS - Spektren von KFexOy(2x2) Photoelectron Spectroscopies 53 Präparationszyklus - Fe 2p Spektren Photoelectron Spectroscopies 54 Präparationszyklus - O 1s Spektren Photoelectron Spectroscopies 55 Präparationszyklus - K 2p Spektren Photoelectron Spectroscopies 56 Wachstum Photoelectron Spectroscopies 57