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Materials Science in Additive Manufacturing                               Ceramic vat photopolymerization



            it, stable solid structures form. The threshold is further   n is the medium’s refractive index; and NA corresponds to
            influenced by the TPA cross-section (δ) of the photoinitiator,   the objective’s NA.
            which quantifies the probability of simultaneous photon
            absorption per unit time (Equation IV):            2.4. Continuous liquid interface production
            dn p   NF 2                              (IV)    Traditional SL methods employ a layer-by-layer approach,
                                                               resulting in slow printing speeds unsuitable for mass
             dt                                                production. In addition, oxygen inhibition during
              where  N  denotes the molecular number density   photopolymerization often leads to incomplete curing by
                                                                                                            22
            (absorbing molecules per unit volume), while  F  =  I/hν   either deactivating photoinitiators or forming peroxides.
            represents the incident photon flux, where  h is Planck’s   To address these limitations, Tumbleston  et al. introduced
            constant and ν is the optical frequency. Since:    continuous liquid interface production (CLIP), an advanced
                                                               SL technique.  In CLIP, printing occurs above an oxygen-
                                                                         22
            dW   dn p  h                             (V)     permeable window, forming a thin “dead zone” (tens of
             dt   dt                                           micrometers thick) where oxygen suppresses curing. This
                                                               uncured layer prevents adhesion between the window and the
              Hence, δ can be expressed as:
                                                               printed part, enabling continuous fabrication. As illustrated
                   3
               16 h  2                                       in Figure 4, CLIP operates by projecting UV images through
                    Im[  ]                          (VI)
                           3 ()
                cn N                                           a transparent, oxygen-permeable window into a liquid resin.
                 22
                                                               Unlike  conventional SL,  which requires intermittent  resin
                  where δ has a unit of 10  m s/photon. 14     renewal and layer repositioning, CLIP continuously draws the
                                 −58
                                     4
              Upon TPA, a portion of the excited initiator undergoes   cured part upward while fresh resin flows into the dead zone.
            intersystem crossing to the triplet state, followed by bond   This eliminates stepwise interruptions, significantly boosting
            cleavage to generate reactive radicals or ionic species,   printing speeds – up to 500  mm/h or higher – without
            thereby initiating TPP. The efficiency of radical formation,   compromising resolution. Moreover, print speed remains
            termed radical quantum yield (φ), combined with the TPA   independent of layer thickness, further enhancing efficiency.
            cross-section (δ), determines the initiator’s performance.   Key advantages of CLIP include: (i) elimination of oxygen
            Optimizing these parameters enables efficient TPP at   inhibition via controlled dead zone formation; (ii) continuous
            reduced laser power and higher writing speeds.  The lifetime   printing without pauses for resin replenishment; (iii) high-
                                                17
            of  radicals  and polymerization kinetics  are influenced   speed production  while maintaining  precision; and  (iv)
            by multiple factors, such as radical quenching (e.g., by   flexibility in layer thickness without affecting speed. This
            oxygen or other radicals), intramolecular recombination,   innovation overcomes critical drawbacks of conventional SL,
            and chain transfer reactions with surrounding molecules.   making it viable for scalable, high-throughput manufacturing.
            These dynamics vary depending on the photoinitiator,   The CLIP process critically depends on establishing an
            monomer, solvent, and environmental conditions (e.g.,   oxygen-inhibited dead zone, achieved through an amorphous
            temperature, atmosphere), ultimately affecting achievable   fluoropolymer window that combines high oxygen
            resolution and processing parameters.  Although the   permeability with UV transparency and chemical resistance.
                                            19
            theoretical resolution limit of TPP is extremely small –   The dead zone’s thickness is determined through differential
            determined by the voxel dimensions at the polymerization   measurement techniques and varies with both oxygen
            threshold – practical feature sizes are constrained by laser   availability and the window’s permeability characteristics. Key
            stability, material composition, and the numerical aperture   observations include: (i) When using ambient air instead of
            (NA) of the focusing objective.  For high-NA objectives   pure oxygen, the dead zone thickness approximately doubles.
                                     20
            (NA > 0.7), the optical resolution can be estimated using   (ii) Increasing photon flux reduces the dead zone thickness.
            the following equations: 21                        (iii) Nitrogen environments completely eliminate the dead
                  .
                 0 325                                        zone, preventing CLIP operation. For systems operating with
            r                                        (VII)
             xy
                  2 NA 091.                                    ambient air, the dead zone thickness can be calculated as:
                                                                                    PI   05.
                                                                                 C
                                                                                     0
                0 532     1                                 Dead zone thickness    D                (ix)
                 .
            r                                     (VIII)                          c0
             z
                  2     n   n  NA
                            2
                                 2
                                                                 where  φ  is the intensity of incident photons,  α is the
                                                                                                       PI
                                                                        0
              where r  and r  denote the lateral and axial resolution   product of photoinitiator concentration and the wavelength-
                           z
                     xy
            limits, respectively; λ represents the excitation wavelength;   dependent absorptivity, D  is the resin reactivity, and C is a
                                                                                   c0
            Volume 4 Issue 3 (2025)                         5                         doi: 10.36922/MSAM025200031
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