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Particle Transport, Deposition, and
           Removal in Xerography
                                 NSF CRCD Project Lecture
                                      April 14, 2003

                                  Fa-Gung Fan
                    Wilson Center for Research & Technology
                              Xerox Corporation
                                  Webster, NY
                             http://chester.xerox.com/innovation/wcrt.html



Fa-Gung Fan, Xerox Corporation                                     MAE Dept., Clarkson University, 4/14/2003
Outline of the Lecture
                    General Overview of Xerography

                    Transport, Adhesion/Cohesion and Removal of Fine
                    Particles (Toner) in Xerography
                    Measuring Toner Charge --- Cage Blowoff, Charge Spectrograph
                    Electrostatic Adhesion, Detachment of Toner Particles
                    Measuring Toner Adhesion --- Atomic Force Microscopy (AFM),
                    Centrifuge Detachment, Electric Field Detachment
                    Measuring Cohesion --- Fluidized Bed

                    Modeling of Electrostatics in Subsystems
                    (in MAE Seminar 4:00-5:00pm today)

                    Q&A


           Acknowledgements:
           S. Chang, C. Duke, D. Hays
           N. Goodman, H. Mizes
Fa-Gung Fan, Xerox Corporation                                    MAE Dept., Clarkson University, 4/14/2003
Xerographic Process
                                                                                  5
                         2                                                     Fusing
                     Exposure
                                                 1        6
                                                        Cleaning
                                             Charging


                                                                                4
                                                                            Transfer
                                                        Photoreceptor
                                 SN
                                 SN




                                                          Substrate
                                  N




                                 S N




                        Development
                                                                        Paper
                                 3
    C. Duke, J. Noolandi, T. Thieret, “The surface
    science of xerography,” Surface Science, 500, p.
    1005, (2002)

Fa-Gung Fan, Xerox Corporation                                          MAE Dept., Clarkson University, 4/14/2003
Xerox Phaser 7700 Color Desktop Laser
          Printer
               22 prints/min, full-color




            Xerography is a versatile technology that scales from desktop, to
            office, to production machines; black-and-white, hightlight color,
            and full color.


Fa-Gung Fan, Xerox Corporation                                 MAE Dept., Clarkson University, 4/14/2003
DocuColor 40 Pro Color Office
           Multifunction Machine
    40 prints/min, full-color




Fa-Gung Fan, Xerox Corporation             MAE Dept., Clarkson University, 4/14/2003
DocuTech 6180 Production Publisher

       180 prints/min
       Black-and-White




Fa-Gung Fan, Xerox Corporation        MAE Dept., Clarkson University, 4/14/2003
DocuColor iGen3 Digital Production Color
          Press
            100 prints/min, full-color




Fa-Gung Fan, Xerox Corporation           MAE Dept., Clarkson University, 4/14/2003
iGen3
                                 Xerographic Unit



                                                    Finisher/Binder




Fa-Gung Fan, Xerox Corporation                           MAE Dept., Clarkson University, 4/14/2003
Photoreceptor
               A semiconductor whose
               conductivity is a strong                                                0
                                                                                           0                                   5




                                                              Voltage on Surface (V)
               function of light exposure.


             _ _ _ _ _ _ _                    _ _      _ _
                   _+_+
                                                                 -1000
              ++ + + + + +                    ++ ++ + + +
                                                                                                    Exposure (ergs/cm2)
         Electron/hole pairs
                         • Requirements
                                 –   Insulator in the dark.
                                 –   Conductor when exposed to light
                                 –   Builds up enough voltage.
                                 –   Uniform properties
Fa-Gung Fan, Xerox Corporation                                                                 MAE Dept., Clarkson University, 4/14/2003
Charging Subsystem



                        HV Power                   HV Power                                 HV Power
                        Supply (-)                 Supply (-)                               Supply (-)




Free ions are attracted              Rapidly moving electrons     Electrons continue to
to wire; Free electrons are          and ions collide with air    follow Electric Field lines
repelled. Counter-charges            molecules, ionizing them     to Photoreceptor until
build up on grounded surfaces.       and creating a corona.       uniform charge builds up

                                                                 Positive Ions
                                                                 Electrons


Fa-Gung Fan, Xerox Corporation                                       MAE Dept., Clarkson University, 4/14/2003
Imaging/Exposure




           Traditional Analog Copier   Laser Printer

Fa-Gung Fan, Xerox Corporation           MAE Dept., Clarkson University, 4/14/2003
Development

                                                    Photoreceptor                     Photoreceptor
                                    Toner
                                                                      Apply E
                                                                       Field                   E

                                                   Development roll                Development roll
                  Development
  Photoreceptor




                     Roll
                                                      Charge particles
                                                      triboelectrically
                                                      Electric field moves
                                  Mixing
                                 Charging             particles from developer
                                                      roll to photoreceptor
                     Triboelectrification of
                     toner particles and carrier
                     beads
Fa-Gung Fan, Xerox Corporation                                            MAE Dept., Clarkson University, 4/14/2003
Toner

                • Charging
                • Adhesion/cohesion
                • Powder flow
                • Rheology
                                            5-10 microns
                • Color - hue and density
                • Pigment dispersion




Fa-Gung Fan, Xerox Corporation                         MAE Dept., Clarkson University, 4/14/2003
Toned Carrier Bead


            q ≅ 2 x 104 e
            m ≅ 2 x 10-10 gm

            q/m ≅ 16 µC/gm




                                                 20 µm


Fa-Gung Fan, Xerox Corporation                 MAE Dept., Clarkson University, 4/14/2003
Transfer


                                       Paper

                                                                   Apply E                      Paper
                                                          Paper    Field &
                                                                   Separate                     E
                             Photoreceptor         Photoreceptor
                                                                                    Photoreceptor




                                             Electric field moves particles from
                                             photoreceptor to paper or transparency
                                             Detachment field must overcome toner
                                             adhesion to photoreceptor

Fa-Gung Fan, Xerox Corporation                                         MAE Dept., Clarkson University, 4/14/2003
Fusing Subsystem


           Permanently affix the image to the final substrate
                 paper of various roughnesses and surface treatment
                 transparency (plastic)
           Apply heat and/or pressure

    Hot Roll Fuser:                     Pressure Roll



                        Unfused toner     Fused toner   Paper

                          Elastomer     Heat Roll




Fa-Gung Fan, Xerox Corporation                                  MAE Dept., Clarkson University, 4/14/2003
Cleaning and Erase

          Removes unwanted residual toner and charge
          from photoreceptor before next imaging cycle
                 Physical agitation removes toner (blade or brush)
                 Light neutralizes charge by making entire photoreceptor
                 conductive

                          Photoreceptor
                                          _
                                              _
                                              _
                                              _
                                              _
                                                  Charge

                                          Residual toner
Fa-Gung Fan, Xerox Corporation                             MAE Dept., Clarkson University, 4/14/2003
Transport, Adhesion/Cohesion and Removal
          of Fine Particles (Toner) in Xerography


                                       Toner must flow smoothly
                                       down dispenser




                                 Toner must develop
                                 onto roll uniformly



          Toner must transfer from
          roll to paper




                                                paper
Fa-Gung Fan, Xerox Corporation                                    MAE Dept., Clarkson University, 4/14/2003
Toner Charge Measurements

                                     Blowoff Tribo

   Air
                                               50

                                               40
                                 Q/M (µC/gm)
                                               30
         Blow toner
                                      µ


         from toned                            20
         beads in cage
                                               10
         Measure
         charge & mass                          0
         difference                                 0    1        2               3                  4
         Calculate                                      Toner Concentration (%)
         average Q/M


Fa-Gung Fan, Xerox Corporation                                        MAE Dept., Clarkson University, 4/14/2003
Toner Charge Measurements

                                 Charge Spectrograph

                                                      1.5
                                                                99%

                                                                 95%


                                        q/D (fC/µm)
                                                       1            90%
                             Air Flow
                                                µ                     80%
                             E Field                                   50%
                                                      0.5                                       Lycopodium


                                                       0
          Inject toner
                                                            0   5       10     15   20       25        30        35
          Displacement
          ∝ q/D                                   -0.5                       Diameter (µm)
                                                                                       µ
          Measure
          position &
          size of
          particles
Fa-Gung Fan, Xerox Corporation                                                        MAE Dept., Clarkson University, 4/14/2003
Toner Adhesion Forces

                                   Fa         Particle adhesion
                                              depends on:
                           ++      + ++
                           +                    Size, shape, &
                                                roughness
                            +                   Materials
                            +
                                          +
                            +            +      Flow agents
                              ++    ++
                                                Charge
                                                Surface charge
                                   Fad          distribution on
                                                particle
               Detachment when Fa > Fad

Fa-Gung Fan, Xerox Corporation                       MAE Dept., Clarkson University, 4/14/2003
Electrostatic Image Force Model
                                                                Q
                                               Fa         σ=
                          E                         R          4 π R2
                                               Fi



                  Image Force                             Applied Force
                                 Q2
        Fi = − α                                Fa = β QE − γ π ε o R 2 E 2
                           16 π ε o R2
                                          αQ
                           Ed ≅                         ≈ 1 V / µm
                                      β 16 π ε o R 2
Fa-Gung Fan, Xerox Corporation                                          MAE Dept., Clarkson University, 4/14/2003
Charge Patch Adhesion Model
                                                             Q = σ At
                                            Fa
                                                             Ac
                                                                 Ac
                                            Fad              f =
                                                                 At

                                            2
                                        σ
                      F ad =        −            A   c   − W A   c
                                        2 εo
                                        σ   W
                                 = −Qf 
                                        2ε + 
                                        o   σ 
                                               
Fa-Gung Fan, Xerox Corporation                                       MAE Dept., Clarkson University, 4/14/2003
Additives Control Adhesion

         Changing type of additive modifies adhesion
                                 Atomic Force Microscopy results




Fa-Gung Fan, Xerox Corporation                              MAE Dept., Clarkson University, 4/14/2003
Atomic Force Microscopy (AFM)




         Bring toner                      Push toner        Retract toner until
         near surface                     against surface   probe releases




                                 200 µm
                                                               20 µm


Fa-Gung Fan, Xerox Corporation                                   MAE Dept., Clarkson University, 4/14/2003
AFM

                                    Measure Single Particle Adhesion


                Laser
                                                                  Photodetector




                                                                       Particle
                                 Cantilever
                                                             Piezoelectric:
                                                               moves up
                                                               and down


Fa-Gung Fan, Xerox Corporation                                         MAE Dept., Clarkson University, 4/14/2003
Centrifuge Detachment

                                         Measure Many Particle Adhesion

                  Putt, putt, putt,...                Vroom, vroom,...                 Whoosh,...




                                         Observe Donor Plate after Each Spin




   H. Mizes, “Adhesion of Small Particle”, Electro. Soc. Amer.
   Univ. of Rochester, 6/23/95

Fa-Gung Fan, Xerox Corporation                                                 MAE Dept., Clarkson University, 4/14/2003
Electric Field Detachment

                                    Measure Many Particle Adhesion



                                                                                 transparent
                                                                                  conductive
                                                                                  electrodes


                                          Donor                Receiver
                                                           V


E. Eklund, W. Wayman, L. Brillson, D. Hays, 1994 IS&T Proc.,
10th Int. Cong. on Non-Impact Printing, 142-146



Fa-Gung Fan, Xerox Corporation                                        MAE Dept., Clarkson University, 4/14/2003
Electrical Field Detachment of
          Charged Toner



 Detachment Cell
                                                        Adhesion of Triboelectrically Charged Toner
                                                         1
                                 Transferred Fraction
                                                        0.8


                                                        0.6


                                                        0.4


                                                        0.2


                                                         0
                                                              0   2    4   6    8   10     12       14       16       18

                                                                      Detachment Field (V/µm)
                                                                                          µ




Fa-Gung Fan, Xerox Corporation                                                           MAE Dept., Clarkson University, 4/14/2003
Toner Transferred
          When FE > FAD
                                     FE



                                 -
                                           -
         Donor Surface
                            -          -
                                     FAD



  E. Eklund, W. Wayman, L. Brillson, D. Hays, 1994 IS&T Proc.,
  10th Int. Cong. on Non-Impact Printing, 142-146


Fa-Gung Fan, Xerox Corporation                                   MAE Dept., Clarkson University, 4/14/2003
Fluidized Bed

                                 Measure Powder Cohesion

                                                             Stresses on the toner bed


                                                                      τ        σ
                                                   α                                   α
             h
                                                                          σ
                                                           ∆P

                                                              Tension  Compression
                                                              σ = ρ (1−ε) gh cos α − ∆ P
                                                                    (1−
                                                                        Shear
                                                                 τ = ρ (1−ε) gh sin α
                                                                       (1−

 P.K. Watson, “Yield Locus of Cohesive Granular Materials”, Workshop on
 Dynamics of Granular Materials: Understanding & Control, Univ. of Chicago,
 5/11/95
Fa-Gung Fan, Xerox Corporation                                                MAE Dept., Clarkson University, 4/14/2003
70
                                                       Te nsi on
                                            60                                    C ompression           Less Additives
              τ , She ar Stre s s (N/m2 )




                                            50
                                                                                                                   More Additives
                                            40

                                            30

                                            20

                                            10

                                             0
                                                 -30   -20     -10     0     10       20    30    40     50       60      70
                                                                   σ , Compre s s ive Stre s s (N/m2 )



Fa-Gung Fan, Xerox Corporation                                                                                MAE Dept., Clarkson University, 4/14/2003
Q&A




Fa-Gung Fan, Xerox Corporation   MAE Dept., Clarkson University, 4/14/2003

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Particle Transport, Deposition, and Removal in Xerography (Fa-Gung Fan)

  • 1. Particle Transport, Deposition, and Removal in Xerography NSF CRCD Project Lecture April 14, 2003 Fa-Gung Fan Wilson Center for Research & Technology Xerox Corporation Webster, NY http://chester.xerox.com/innovation/wcrt.html Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 2. Outline of the Lecture General Overview of Xerography Transport, Adhesion/Cohesion and Removal of Fine Particles (Toner) in Xerography Measuring Toner Charge --- Cage Blowoff, Charge Spectrograph Electrostatic Adhesion, Detachment of Toner Particles Measuring Toner Adhesion --- Atomic Force Microscopy (AFM), Centrifuge Detachment, Electric Field Detachment Measuring Cohesion --- Fluidized Bed Modeling of Electrostatics in Subsystems (in MAE Seminar 4:00-5:00pm today) Q&A Acknowledgements: S. Chang, C. Duke, D. Hays N. Goodman, H. Mizes Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 3. Xerographic Process 5 2 Fusing Exposure 1 6 Cleaning Charging 4 Transfer Photoreceptor SN SN Substrate N S N Development Paper 3 C. Duke, J. Noolandi, T. Thieret, “The surface science of xerography,” Surface Science, 500, p. 1005, (2002) Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 4. Xerox Phaser 7700 Color Desktop Laser Printer 22 prints/min, full-color Xerography is a versatile technology that scales from desktop, to office, to production machines; black-and-white, hightlight color, and full color. Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 5. DocuColor 40 Pro Color Office Multifunction Machine 40 prints/min, full-color Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 6. DocuTech 6180 Production Publisher 180 prints/min Black-and-White Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 7. DocuColor iGen3 Digital Production Color Press 100 prints/min, full-color Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 8. iGen3 Xerographic Unit Finisher/Binder Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 9. Photoreceptor A semiconductor whose conductivity is a strong 0 0 5 Voltage on Surface (V) function of light exposure. _ _ _ _ _ _ _ _ _ _ _ _+_+ -1000 ++ + + + + + ++ ++ + + + Exposure (ergs/cm2) Electron/hole pairs • Requirements – Insulator in the dark. – Conductor when exposed to light – Builds up enough voltage. – Uniform properties Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 10. Charging Subsystem HV Power HV Power HV Power Supply (-) Supply (-) Supply (-) Free ions are attracted Rapidly moving electrons Electrons continue to to wire; Free electrons are and ions collide with air follow Electric Field lines repelled. Counter-charges molecules, ionizing them to Photoreceptor until build up on grounded surfaces. and creating a corona. uniform charge builds up Positive Ions Electrons Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 11. Imaging/Exposure Traditional Analog Copier Laser Printer Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 12. Development Photoreceptor Photoreceptor Toner Apply E Field E Development roll Development roll Development Photoreceptor Roll Charge particles triboelectrically Electric field moves Mixing Charging particles from developer roll to photoreceptor Triboelectrification of toner particles and carrier beads Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 13. Toner • Charging • Adhesion/cohesion • Powder flow • Rheology 5-10 microns • Color - hue and density • Pigment dispersion Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 14. Toned Carrier Bead q ≅ 2 x 104 e m ≅ 2 x 10-10 gm q/m ≅ 16 µC/gm 20 µm Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 15. Transfer Paper Apply E Paper Paper Field & Separate E Photoreceptor Photoreceptor Photoreceptor Electric field moves particles from photoreceptor to paper or transparency Detachment field must overcome toner adhesion to photoreceptor Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 16. Fusing Subsystem Permanently affix the image to the final substrate paper of various roughnesses and surface treatment transparency (plastic) Apply heat and/or pressure Hot Roll Fuser: Pressure Roll Unfused toner Fused toner Paper Elastomer Heat Roll Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 17. Cleaning and Erase Removes unwanted residual toner and charge from photoreceptor before next imaging cycle Physical agitation removes toner (blade or brush) Light neutralizes charge by making entire photoreceptor conductive Photoreceptor _ _ _ _ _ Charge Residual toner Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 18. Transport, Adhesion/Cohesion and Removal of Fine Particles (Toner) in Xerography Toner must flow smoothly down dispenser Toner must develop onto roll uniformly Toner must transfer from roll to paper paper Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 19. Toner Charge Measurements Blowoff Tribo Air 50 40 Q/M (µC/gm) 30 Blow toner µ from toned 20 beads in cage 10 Measure charge & mass 0 difference 0 1 2 3 4 Calculate Toner Concentration (%) average Q/M Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 20. Toner Charge Measurements Charge Spectrograph 1.5 99% 95% q/D (fC/µm) 1 90% Air Flow µ 80% E Field 50% 0.5 Lycopodium 0 Inject toner 0 5 10 15 20 25 30 35 Displacement ∝ q/D -0.5 Diameter (µm) µ Measure position & size of particles Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 21. Toner Adhesion Forces Fa Particle adhesion depends on: ++ + ++ + Size, shape, & roughness + Materials + + + + Flow agents ++ ++ Charge Surface charge Fad distribution on particle Detachment when Fa > Fad Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 22. Electrostatic Image Force Model Q Fa σ= E R 4 π R2 Fi Image Force Applied Force Q2 Fi = − α Fa = β QE − γ π ε o R 2 E 2 16 π ε o R2 αQ Ed ≅ ≈ 1 V / µm β 16 π ε o R 2 Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 23. Charge Patch Adhesion Model Q = σ At Fa Ac Ac Fad f = At 2 σ F ad = − A c − W A c 2 εo  σ W = −Qf   2ε +   o σ   Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 24. Additives Control Adhesion Changing type of additive modifies adhesion Atomic Force Microscopy results Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 25. Atomic Force Microscopy (AFM) Bring toner Push toner Retract toner until near surface against surface probe releases 200 µm 20 µm Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 26. AFM Measure Single Particle Adhesion Laser Photodetector Particle Cantilever Piezoelectric: moves up and down Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 27. Centrifuge Detachment Measure Many Particle Adhesion Putt, putt, putt,... Vroom, vroom,... Whoosh,... Observe Donor Plate after Each Spin H. Mizes, “Adhesion of Small Particle”, Electro. Soc. Amer. Univ. of Rochester, 6/23/95 Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 28. Electric Field Detachment Measure Many Particle Adhesion transparent conductive electrodes Donor Receiver V E. Eklund, W. Wayman, L. Brillson, D. Hays, 1994 IS&T Proc., 10th Int. Cong. on Non-Impact Printing, 142-146 Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 29. Electrical Field Detachment of Charged Toner Detachment Cell Adhesion of Triboelectrically Charged Toner 1 Transferred Fraction 0.8 0.6 0.4 0.2 0 0 2 4 6 8 10 12 14 16 18 Detachment Field (V/µm) µ Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 30. Toner Transferred When FE > FAD FE - - Donor Surface - - FAD E. Eklund, W. Wayman, L. Brillson, D. Hays, 1994 IS&T Proc., 10th Int. Cong. on Non-Impact Printing, 142-146 Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 31. Fluidized Bed Measure Powder Cohesion Stresses on the toner bed τ σ α α h σ ∆P Tension Compression σ = ρ (1−ε) gh cos α − ∆ P (1− Shear τ = ρ (1−ε) gh sin α (1− P.K. Watson, “Yield Locus of Cohesive Granular Materials”, Workshop on Dynamics of Granular Materials: Understanding & Control, Univ. of Chicago, 5/11/95 Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 32. 70 Te nsi on 60 C ompression Less Additives τ , She ar Stre s s (N/m2 ) 50 More Additives 40 30 20 10 0 -30 -20 -10 0 10 20 30 40 50 60 70 σ , Compre s s ive Stre s s (N/m2 ) Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003
  • 33. Q&A Fa-Gung Fan, Xerox Corporation MAE Dept., Clarkson University, 4/14/2003