throbber
3.3. Some Special Classes of Luminescent Centers
`
`39
`
`::J
`d
`
`0
`
`2
`
`!.
`TIME(iJ.s)
`
`6
`
`8
`
`10
`
`Fig. 3.6. Decay curve of the Eu2+ emission of SrB 4 07 : Eu 2+ at room temperature. The
`luminescence intensity I is plotted logarithmically versus the time after the excitation pulse. In
`agreement with Eq. (3.3) a straight line is found
`
`recently been unravelled by modem experimental techniques. This example illustrates
`the process of relaxation, and simultaneously the power of the instrumental technique
`used, viz. femtosecond spectroscopy [5].
`Consider as a specific example KCl, a very simple compound indeed. In Chapter 2,
`its lowest optical absorption band was mentioned to be due to the 3p6 --+ 3p5 4s
`transition on the Cl -
`ion. The excited state can be considered as a hole on the Cl(cid:173)
`ion (in the 3p shell) and an electron in the direct neighbourhood of the Cl- ion, since
`the outer 4s orbital spreads over the K+ ions. Now we consider what happens after
`the absorption process. The hole prefers to bind two ci- ions forming a v K centre:
`this centre consists of a Ch- pseudomolecule on the site of two Cl-
`ions in the
`lattice. The electron circles around the V K centre. In this way a self-trapped exciton
`is formed. An exciton is a state consisting of an electron and a hole bound together.
`By the relaxation process (Cl-* --+ VK.e) the exciton has lowered its energy and is
`now trapped in the lattice.
`Up till a few years ago it was generally assumed that the luminescence of KCl
`was due to self-trapped exciton recombination, i.e. the electron falls in the hole of the
`V K center and the energy of the exciton is emitted as radiation. Recently, however, it
`was shown that the VK.e exciton can relax further: the Ch- pseudomolecule moves
`to the lattice site of one Cl -
`ion (this is called an H center), the electron to the other
`Cl- site which is now vacant (this is the well-known F center). The new relaxed state
`is an F.H pair. It has a lower energy than the V K·e relaxed state. The several steps
`in the relaxation process are depicted in Fig. 3.7. As a matter of fact such a large
`relaxation results in an enormous Stokes shift (several eV's for alkali halides). After
`emission, the F.H configuration relaxes back to the ground state, i.e. eCI.(Ch -)CI --+
`2CldCl-. The subscript indicates the lattice site.
`
`Vizio EX1018 Page 0050
`
`

`

`40
`
`3. Radiative Return to the Ground State: Emission
`
`a
`
`c
`
`Fig. 3.7. Schematic representation of relaxed excited states in an alkali halide. a: ground state;
`b : self-trapped exciton consisting of a VK centre and an electon; c: F.H pair centre. The electron
`is represented by its orbit (drawn line) marked by the letter e, the Ci2 pseudomolecule (i.e. the
`trapped hole) by Cl-Cl. See also text
`
`This example shows clearly that the emission process is very different from the
`(simple) absorption process. For all details the reader is referred to the literature
`[5]. Finally we draw attention to the fact that the life time of the relaxed self-trapped
`exciton in the alkali halides is longer ("""' 1 o- 6 s) than expected for an allowed transition
`(I o- 7 - 1 o- 8 s). This is ascribed to the fact that the emitting state contains an amount
`of spin triplet character. Such a triplet state arises when the spins of the electron and
`the hole are oriented parallel. The emission transition becomes (partly) forbidden by
`the spin selection rule (see Chapter 2).
`
`3.3.2 Rare Earth Ions (Line Emission)
`
`The energy levels of the trivalent rare earth ions which arise from the 4fn configuration
`are given in Figure 2.14. In a configurational coordinate diagram these levels appear
`as parallel parabolas (~R = 0), because the 4felectrons are well shielded from the
`surroundings. Emission transitions yield, therefore, sharp lines in the spectra. Since
`the parity does not change in such a transition, the life time of the excited state is
`long ( ,...__, 1 o- 3 s).
`The energy levels presented in Figure 2.14 are actually split by the crystal field.
`As a matter of fact the splitting is very small due to the shielding by the 5s2 and 5p6
`electrons: whereas the crystal field strength in case of transition metal ions (dn) is
`characteristically a few times 10 000 cm- 1 , it amounts in the rare earth ions (fn) a
`few times 100 cm-1.
`After these general considerations some special cases will be dealt with.
`
`Vizio EX1018 Page 0051
`
`

`

`3.3. Some Special Classes of Luminescent Centers
`
`41
`
`This ion has a half-filled 4fshell which gives a very stable gS712 ground state. The
`excited levels are at energies higher than 32 000 cm- 1
`• As a consequence the emission
`of Gd3+ is in the ultraviolet spectral region. The gS 7; 2 level (orbitally nondegenerate)
`cannot be split by the crystal field. This limits the low-temperature emission spectrum
`to one line, viz. from the lowest crystal field level of the 6 P 712 level to gS712 . However,
`usually the real spectrum consists of more than one line for several reasons.
`in the first place one usually observes weak vibronic transitions at energies be(cid:173)
`low that of the electronic 6 P7/2 ----+ 11 s7/2 transition. In the vibronic transition two
`transitions occur simultaneously, viz. the electronic one (in this case 6 P 7 12
`----+
`8 S 712 ) and a vibrational one. Therefore, the energy difference between the elec(cid:173)
`tronic transition (in this context often called zero-phonon transition or origin) and
`a vibronic one yields the vibrational frequency of the mode which is excited in
`the emission process. In Figure 3.5 a vibronic line occurs in the Gd3+ emission
`spectrum at 1350 cm- 1 below the electronic origin, which shows that vibrations
`of the borate group are involved. These vibronic transitions are observed in many
`rare-earth spectra (see, for example, Ref. [6].
`in the second place one may observe at higher energy than the electronic transition
`other transitions which are due to transitions from the higher crystal field levels
`of the 6 P 712 level. Since the crystal field splitting is small, even at 4.2 K their
`population may be sizable. In Figure 3.8 we show as an example the emission
`spectrum of Gd3+ in LuTa04 at room temperature: there are four lines in the
`6 P7/2 ----+ 8 s7/2 transition originating from the four crystal field levels of 6
`P7/2•
`and, in addition, three lines belonging to the 6 Ps;2 ----+ 8 s7/2 level which is also
`thermally populated at room temperature.
`if one excites with high enough energy (e.g. X rays) many more transitions are
`: Gd3+)
`observed. An example is given in Figure 3.9. The composition (LaF3
`shows under X-ray excitation, in sequence of increasing energy, emission from
`the 6 P, 6 I, 6 D, and 6 G levels [7].
`
`The emission of this ion consists usually of lines in the red spectral area. These
`lines have found an important application in lighting and display (color television).
`These lines correspond to transitions from the excited 5 D 0
`level to the 7 F 1
`(1 =
`0, 1, 2, 3, 4, 5, 6) levels of the 4f6 configuration. Since the 5 D 0 level will not be split
`by the crystal field (because J = 0), the splitting of the emission transitions yields the
`crystal-field splitting of the 7 F 1 levels. This is illustrated in Figure 3.1 0. In addition
`to these emission lines one observes often also emission from higher 5 D levels, viz.
`5 D 1, 5 D 2 and even 5 D 3 . The factors determining their presence or absence will be
`discussed in Chapter 4.
`7F 1 emission is very suitable to survey the transition probabilities of the
`The 5 D 0 -
`sharp spectral features of the rare earths. If a rare-earth ion occupies in the crystal
`lattice a site with inversion symmetry, optical transitions between levels of the 4f 0
`
`Vizio EX1018 Page 0052
`
`

`

`42
`
`3 . Radiative Return to the Ground State: Emission
`
`307
`
`311
`
`315 nm
`
`Fig. 3.8. Emi ssion spectrum of the Gd3+ luminescence of LuTa04:Gd3+ at room temperature.
`The 6 P 712 ~ Xs712 transition shows four components (longer wavelength side), the 6 P s12 ~
`8s 712 transition three (shorter wavelength side)
`
`v
`
`7.50E 03
`
`3
`
`2
`
`-
`
`1
`
`t
`
`190 A
`
`0.15E 03
`
`~ u
`
`260
`Wavelength (nm)
`
`\.
`
`J
`
`5
`
`\_
`
`330
`
`Fig. 3.9. The emission spectrum of the X -ray excited Gd3+ luminescence of LaF3 : Gd3+. Line
`I is the 6 P ~ Xs transition , line 2 6 1 ~ 8 S, line 3 6 D ~ xs, line 4 6 G ~ 8 S, whereas band 5
`is the self-trapped exciton emission of LaF3 (V K type, see Sect. 3.3. 1)
`
`configuration are strictly forbidden as electric-dipole transition (parity selection rule).
`They can only occur as (the much weaker) magnetic-dipole transitions which obey the
`
`Vizio EX1018 Page 0053
`
`

`

`3.3. Some Specia l Classes of Luminescent Centers
`
`43
`
`Lu. Eu
`1P
`o Na
`
`G Gd.Eu
`o Na
`
`Na(Lu.Eu)02
`
`Na(Gcf.EuJ02
`
`r
`
`580
`
`600
`) . -
`
`620nm
`
`620nm
`
`A.- -
`
`Fig. 3.10. The emission spectrum of Eu3+ in NaLu02 and NaGd02. In the NaLu02 : Eu3+
`spectrum the 5 D0 - 7 F 1 lines dominate, in the NaGd02 : Eu3+ spectrum the 5 D 0 - 7 F 2 lines. At
`the top of the Fig., a schematical presentation of the crystal structures of the host lattices is
`given. See also text
`
`selection rule .6.J = 0, ± 1 (but J = 0 to J = 0 forbidden) or as vibronic electric-dipole
`transitions.
`If there is no inversion symmetry at the site of the rare-earth ion, the uneven crystal
`field components can mix opposite-parity states into the 4j 0 -configurational levels
`(Sect. 2.3.3). The electric-dipole transitions are now no longer strictly forbidden and
`appear as (weak) lines in the spectra, the so-called forced electric-dipole transitions.
`Some transitions, viz. those with .6.1 = 0, ±2, are hypersensitive to this effect. Even for
`small deviations from inversion symmetry, they appear dominantly in the spectrum.
`
`Vizio EX1018 Page 0054
`
`

`

`44
`
`3. Radiative Return to the Ground State: Emission
`
`We consider again Figure 3.10 for an illustration of these statements . The figure
`shows the emission spectra of NaLu02 : Eu 3+ and NaGd02 : Eu 3+. Both host lattices
`have the rocksalt structure, but with a different superstructure between mono- and
`trivalent metal ions. In NaLu0 2 the rare earth ions occupy a site with inversion
`symmetry. In NaGd02 the rare earth ions are octahedrally coordinated but due to the
`superstructure there is a small deviation from inversion symmetry.
`: Eu 3+ the 5 D 0 - 7 F 1 emission transition is dominating. All other tran(cid:173)
`In NaLu02
`sitions occur only as very weak and broad lines. These are the vibronic transitions;
`the electronic origins are lacking. Since the starting level is 5 0 0 , the only possible
`7F 1, as observed experimentally. The trigonal crystal
`magnetic-dipole transition is 5 0 0 -
`field at the rare earth site in NaLu0 2 splits this transition into two lines.
`: Eu3+ the 5 0 0 - 7 F 2 emission transition dominates, but other lines are
`In NaGd0 2
`also present. The Eu3+ case is so illustrative, because the theory of forced electric(cid:173)
`dipole transitions [8] yields a selection rule in case the initial level has J = 0 . Tran(cid:173)
`sitions to levels with uneven J are forbidden. Further J = 0 ~ J = 0 is forbidden,
`because the total orbital momentum does not change. This restricts the spectrum to:
`5 0 0 -
`7 F 1, present as magnetic-dipole emission, but overruled by the forced electric(cid:173)
`dipole emission,
`5 D 0 - 7 F 2 , a hypersensitive forced electric-dipole emission, which indeed is dominat(cid:173)
`ing,
`5 D 0 - 7 F 4 , 6 , weak forced electric-dipole emissions.
`For applications it is required that the main emission is concentrated in the 5 D 0 - 7 F 2
`transition. This illustrates the importance of hypersensitivity in materials research.
`
`The emission of Tb3+ is due to transitions 5 D 4 - 7 F 1 which are mainly in the green. Of(cid:173)
`ten there is a considerable contribution to the emission from the higher-level emission
`5 D 3 - 7 F 1 , mainly in the blue. Figure 3.11 gives an example of a Tb3 + emission spec(cid:173)
`trum. Since the J values, involved in the transitions, are high, the crystal field splits
`the levels in many sublevels which gives the spectrum its complicated appearance.
`
`The emission of Sm3+ is situated in the orange-red spectral region and consists of
`transitions from the 4 G 512 level to the ground state 6 H 512 and higher levels 6 H 1 (J > ~ ).
`
`The emission of Dy3+ originates from the 4 F912 level. Dominating are the transitions
`to 6 H 15; 2
`( "' 470 nm) and 6 H 1312 ("' 570 nm). The latter one has dJ = 2 and
`is hypersensitive. The emission has a whitish color which turns to yellow in host
`lattices where hypersensitivity is pronounced.
`
`Vizio EX1018 Page 0055
`
`

`

`3.3. Some Special Classes of Luminescent Centers
`
`45
`
`100
`
`50
`
`OL-----------~------------~------------~------~
`500
`600
`400
`300
`
`f... ( n m ) ------
`Fig. 3.11. The Tb3+ emission spectrum of GdTa04 : Tb3+
`
`The emission color of Pr'+ depends strongly on the host lattice. If the emission
`3 H 4 ) like in Gd2 0 2 S : Pr, but red
`originates from the 3 P 0 level, it may be green eP0 -
`3 H 6 , 3 F 2 ) like in LiYF4
`: Pr. If the emission originates
`lines may also be strong eP0 -
`from the 1 D 2 level, it is in the red and near-infrared. The factors determining whether
`emission occurs from 3 P 0 or 1D 2 will be discussed later. The decay time of the 3 P 0
`emission is short for a rare earth ion (tens of J-LS). Not only is there no spin selection
`rule active, but also the 4forbitals are probably more spread out in the lighter rare(cid:173)
`earths (with lower nuclear charge) facilitating the mixing with opposite-parity states
`[9].
`Rare-earth ion emission is not necessarily sharp line emission, as we will see now.
`
`3.3.3 Rare Earth Ions (Band Emission)
`
`Several rare earth ions show broad band emission. In this emission transition we are
`dealing with an electron which returns from a 5dorbital to the 4forbital (see also
`Sect. 2.3.4). First we discuss trivalent ions (Ce3+, p~+, Nd3+), later divalent ions
`(Eu2+, Sm 2+, Yb 2+).
`
`a. Trivalent Ions
`
`The Ce3+ ion ( 4 f 1
`) is the most simple example, since it is a one-electron case. The
`excited configuration is 5d 1
`• The 4f 1 ground state configuration yields two levels,
`viz. 2F 512 and 2 F 712 , separated by some 2000 cm- 1 due to spin-orbit coupling. The
`
`Vizio EX1018 Page 0056
`
`

`

`46
`
`3. Radiative Return to the Ground State: Emission
`
`_/::~::::~ - - - --
`5d
`-------k~~:::~:::~~~------
`
`4f
`- - -- -- ·o::: ...... - -- - --
`
`so
`
`Fig. 3.12. The simplified energy level scheme of the Ce3+ ion (4/ 1 ). On the left hand side
`only the 4flevel and the 5dlevel are given without taking into account further interactions.
`On the right hand side the spin-orbit (SO) coupling has split the 4flevel into two components
`(about 2000 cm- 1 apart), and the crystal field (D.) has split the 5dlevel into five crystal-field
`components spanning together some I 5 000 em -I
`
`5d 1 configuration is split by the crystal field in 2 to 5 components. The total splitting
`amounts to some 15 000 cm- 1 (Fig. 3. 12).
`The emission occurs from the lowest crystal field component of the 5d 1 configu(cid:173)
`ration to the two levels of the ground state. This gives the Ce3+ emission its typical
`double-band shape (Fig. 3.13). Since the 5d-+ 4 /transition is parity allowed and spin
`selection is not appropriate, the emission transition is a fully allowed one. The decay
`time of the Ce3+ emission is short, viz. a few ten ns. The decay time is longer if
`the emission is at longer wavelengths: 20 ns for the 300 nm emission of CeF3 , and
`: Ce3+ . It can be derived that for a given
`70 ns for the 550 nm emission of Y 3 Al 5 0 12
`transition the decay time 7 is proportional to the square of the emission wavelength
`A [10]: 7"'"' A2
`.
`The Stokes shift of the Ce3+ emission is never very large and varies from a
`thousand to a few thousand wave numbers (medium coupling case). The spectral
`position of the emission band depends on three factors:
`covalency (the nephelauxetic effect) which will reduce the energy difference be(cid:173)
`tween the 4f 1 and 5d 1 configurations
`crystal field splitting of the 5d 1 configuration: a large low-symmetry crystal field
`will lower the lowest crystal-field component from which the emission originates.
`the Stokes shift.
`Usually the Ce3+ emission is in the ultraviolet or blue spectral region, but in
`Y 3 Al 5 0 12 it is in the green and red (crystal-field effect), and in CaS in the red
`(covalency effect).
`Under certain conditions 5d-4femission has also been observed for p~+ (4/2 )
`and Nd3+ (4/3 ). For example, LaB 3 0 6 : p~+ shows band emission around 260 nm
`and LaF3 : Nd3+ around 175 nm. Due to the 7 ""' .A2 relation, the decay time of the
`latter is only 6 ns [11 ]. However, these ions have an alternative way to emit, viz. by
`an emission transition in the 4/" configuration.
`
`Vizio EX1018 Page 0057
`
`(cid:173)
`

`

`3.3. Some Special Classes of Luminescent Centers
`
`47
`
`i
`
`300
`
`320
`
`340
`
`A (nm ) -
`
`Fig. 3.13. The Ce3+ emission spectrum of LiYF4 : Ce3+ at 4.2 K. The two bands correspond to
`the transition from the lowest 5dcrystal-field component to the two components of the 4fground
`state. The longer wavelength component shows vibrational structure
`
`b. Divalent Ions
`
`In this group the most well-known and widely applied example is the Eu 2+ (4j7 ) ion
`which shows a Sd ----+ 4f emission which can vary from long-wavelength ultraviolet
`to yellow. Its decay time is about 1 f.LS. This is due to the fact that the emitting level
`contains (spin) octets and sextets, whereas the ground state level ( 8S from 4j7 ) is an
`octet, so that the spin selection rule slows down the optical transition rate.
`The host lattice dependence of the emission colour of the Eu 2+ ion is determined
`by the same factors as in the case of the Ce3+ ion. If the crystal field is weak and the
`amount of covalency low, the lowest component of the 4j6 5d configuration of the
`Eu2+ ion may shift to such high energy, that the 6 P 7 12 level of the 4 j 7 configuration lies
`below it. At low temperatures sharp-line emission due to the 6 P 7 ; 2 ----+ 8 S 7 12 transition
`occurs. This has been observed for quite a number of Eu2+ -activated compounds. As
`an example we can mention SrB4 0 7 : Eu2+ [ 12].
`Figure 3.14 gives the emission spectrum as a function of temperature. At 4.2 K
`there is line emission from 6 P 712 (and a weak vibronic structure). At 35 K the thermally
`activated emission from the higher crystal-field components of 6 P 712 appears, together
`with a broad band due to the 4j6 5d----+ 4f7 transition. This band has a zero-phonon
`line, indicated 0. At 110 K the band dominates.
`
`Vizio EX1018 Page 0058
`
`

`

`48
`
`3. Radiative Return to the Ground State: Emission
`
`a
`
`I
`
`~
`
`b
`
`-
`
`I
`
`I
`
`t
`
`I
`
`6p
`71 2
`
`t
`
`~~.~
`
`c
`
`380
`
`A. (nm) 370
`
`360
`
`Fig. 3.14. The Eu2+ emission spectrum of SrB4 07 : Eu2+ as a function of temperature. See also
`text. a: 4.2 K (6 P7;2 --+ 8S7 ;2 line emission); b: 35 K (line emissions, and broad band emission
`due to the 4j6 5d--+ 4j7 transition; c: 110 K (band emission dominates)
`
`Vizio EX1018 Page 0059
`
`

`

`3 .3. Some Special Classes of Luminescent Centers
`
`49
`
`i
`
`E
`
`6p
`7/ 2
`
`t.. t sd
`
`---------- ----1
`
`---- ---- - -- - - -- -
`
`6E
`
`Fig. 3.15. Configurational coordinate model for Eu2 + in SrB4 0 7 . Figs . 3 .1 4 and 3 . 15 are de rived
`from A . Meijerink, thesis, University Utrecht, 1990
`
`o -
`
`Figure 3.15 gives the relevant configurational coordinate diagram with the four
`6 P 712 crystal-field levels and the lowest component of the 4f6 5dconfiguration (with
`a different equilibrium distance).
`Finally Figure 3.16 gives the decay time ·of the Eu2+ emission in SrB 4 0 7 . At
`low temperatures it is 440 f-LS (parity forbidden 6 P -+ 8 S transition), but at higher
`temperatures it decreases rapidly due to the occurrence of the faster Sd-+ 4femission.
`The Sm2+ ion (4/6 ) can show Sd-+ 4femission in the red. However, if the
`lowest level of the 4f5 Sd configuration is at high energy, the intraconfigurational 4/6
`emission is observed. This runs parallel with the case of Eu3+ , although the Sm2+
`transitions are at a much longer wavelength.
`The Yb2+ (4/ 14) ion can only show one emission, viz. 4f 135d -+ 4/ 14
`• It is
`observed in the ultraviolet or blue. An example is given in Fig. 3.17. In the case of
`this ion the spin selection rule is of even more importance, since the observed decay
`times are very long for a Sd -+ 4ftransition (a few ms, Ref. [13]) .
`
`Vizio EX1018 Page 0060
`
`

`

`50
`
`3. Radiative Return to the Ground State: Emission
`
`L.OO
`
`i
`
`CJ}
`
`~300
`
`Cl)
`
`E
`
`0 o~------~2~0--------4~0~------~6~0------~B~O~~
`T (K ) -
`
`Fig. 3.16. Decay time of the Eu2+ emission of SrB4 0 7 : Eu2+ as a function of temperature
`
`l
`
`Fig. 3.17. The Yb2+ emission spectrum of SrB4 07: Yb2+ at 4.2 K
`
`370
`
`360 nm
`
`3.3.4 Transition Metal Ions
`
`The luminescence of the transition metal ions will be discussed using the Tanabe(cid:173)
`Sugano diagrams (Sect. 2.3.1 ). First we will consider ions which have played or
`still play an important role in luminescent materials, viz. Cr3+ and Mn4+ with d 3
`configuration and Mn2+ with d 5 configuration. Then we will mention some ions
`which became more recently of interest. For a detailed account of this field the reader
`is referred to ref. [ 1].
`
`Vizio EX1018 Page 0061
`
`

`

`3.3. Some Special Classes of Luminescent Centers
`
`51
`
`a
`
`700
`
`800
`
`900
`
`1 000 nm
`
`Fig. 3.18. Emission spectra of Cr3+. a: AI203: Cr3+ eE ~ 4 A2
`Mg4 Nb2 0 9 :Cr3+ (4 T 2 ~ 4 A 2 band emission)
`
`line emission); b:
`
`The luminescence of CrH in Ah0 3 (ruby) has already been mentioned in Chapter 1.
`It formed the basis of the first solid state laser in 1960. This emission consists of two
`sharp lines (the so-called R lines) in the far red (see Fig. 3.18). Since it is a line, it
`must be due to the transition 2 E -+ 4 A 2 (Fig. 2.9); generally speaking the emission
`of transition metal ions originates from the lowest excited state. The life time of the
`excited state amounts to some ms, because the parity selection rule as well as the spin
`selection rule apply. The emission line is followed by some weak vibronic transitions:
`obviously this emission transition belongs to the weak-coupling case.
`Not always the 2 E level is the lowest excited state. For relatively low crystal
`fields the 4 T 2 level is lower. In that case the emission changes character. It is now
`4 A 2 emission in the infrared with a decay time of r"oJ 100 J.LS. As an
`broad-band 4 T 2 -
`example, Fig. 3.18 gives the emission spectrum of Mg4 Nb2 0 9 : c~+. This emission
`forms the basis of tunable infrared lasers. Figure 3.18 also illustrates how dramatic
`the crystal field influences the emission spectrum in the case of d 3 ions.
`In YA1 3 B 4 0 12 : CrH, the emission at 4.2 K is 2 E-+ 4 A 2 , but at higher temperatures
`4 T 2 -+ 4 A 2 . Although the 2 E level is below 4 T 2 , the latter can be thermally occupied
`at higher temperatures. Since the 4 T 2 -+ 4 A 2 transition probability is higher than that
`of the 2 E -+ 4 A 2 transition due to the spin selection rule, the 4 T 2 emission rapidly
`dominates the emission spectrum.
`The strength of the crystal field on the c~+ ion is therefore of imperative impor(cid:173)
`tance for its optical properties. Its color is red for high crystal field strength (ruby),
`
`Vizio EX1018 Page 0062
`
`

`

`52
`
`3. Radiative Return to the Ground State: Emission
`
`and green for low crystal field strength. Its emission is a narrow line in the red in
`the former case, but a broad band in the near infrared in the latter. In some cases the
`4T 2 ---+ 4 A 2 emission band shows vibrational structure. There is not only a progres(cid:173)
`sion in the symmetric stretching mode v 1 , but also in v 2 (see Fig. 3.4) indicating a
`tetragonally distorted excited state.
`
`This ion is isoelectronic with cr>+, but the crystal field at the higher charged Mn4+
`ion is stronger, so that the Mn4 + emission is always 2 E---+ 4 A 2 . Usually the vibronics
`are more intense than for Cr'+ [14].
`
`The Mn2+ ion has an emission which consists of a broad band, the position of which
`depends strongly on the host lattice. The emission can vary from green to deep red. The
`decay time of this emission is of the order of ms. From the Tanabe-Sugano diagram
`(Fig. 2.1 0) we derive that the emission corresponds to the 4 T 1 ---+ 6 A 1 transition.
`This explains all the spectral properties: a broad band due to different slopes of the
`energy levels, a long decay time due to the spin selection rule, and a dependence of the
`emission color on the host lattice due to the dependence on crystal field. Tetrahedrally
`coordinated Mn 2 + (weak crystal-field) usually gives a green emission, octahedrally
`coordinated Mn2+ (stronger crystal field) gives an orange to red emission.
`
`d. Other d 11 ions
`
`The Ti 3+ ion (3d 1
`) gives a broad-band emission in the near infrared due to the 2 E---+
`2T 2 transition. The titanium-sapphire laser is based on this emission.
`The Ni2+ ion (3d 8 ) gives a complicated emission spectrum due to the appearance
`of emission transitions from more than one level. Luminescence from K.MgF3 : Ni2+
`appears in the near infrared CT2 ---+ 3 A 2 ), the red ( 1T 2 ---+ 3 T 2 ) and the green ('T2
`---+ 3 A2).
`Giidel and coworkers, in recent years, have reported many near infrared emissions
`from transition metal ions with "unusual" valencies (V2+(3d 3 ), V3+(3d2 ), Ti 2+(3d 2 ),
`Mn5+ (3d 2 )
`[ 15]).
`
`3.3.5 d ° Complex Ions
`
`Complexes of transition metal ions with a formally empty d shell show often intense
`broad-band emission with a large Stokes shift ( 10 000-20 000 cm- 1 ). Examples are
`Vo~- , Nb06-, WO~ - and Wo~- [ 16]. The excited state is considered to be a charge(cid:173)
`transfer state, i.e. electronic charge has moved from the oxygen ligands to the central
`metal ion. The real amount of charge transfer is usually small, but a considerable
`amount of electronic reorganisation occurs, in which electrons are promoted from
`
`Vizio EX1018 Page 0063
`
`

`

`3.3. Some Special Classes of Luminescent Centers
`
`53
`
`Table 3.1. Decay times T of some luminescent compounds with d 0 metai ions at 4 .2 K.
`
`Compound
`YV04
`KVOF4
`Mg4Nb209
`CsNbOP207
`CaMo04
`CaW04
`
`T (p.,s)
`500
`33500
`100
`500
`250
`330
`
`bonding orbitals (in the ground state) to antibonding orbitals (in the excited state).
`The value of 11R is large, the Stokes shift is large, and the spectral bands broad.
`Especially the complexes with the lighter metal ions show long decay times of
`their emission. Table 3.1 gives some examples. Following early suggestions [ 16], Van
`der Waals et al. were able to prove that the emitting state is a spin triplet [ 17]. They
`showed also that the excited state is strongly distorted due to the Jahn-Teller effect.
`Here we meet another clear example of an excited state which is distorted relative to
`the ground state.
`Octahedral complexes of this type have a smaller Stokes shift than the tetrahedral
`ones. The important consequences of this will be outlined in Chapter 5. Although not
`understood, certain structural configurations seem to promote efficient luminescence,
`for example, edge or face sharing of octahedral complexes (Li 3 Nb04, Ba3 W 20 9 ),
`and the occurrence of one short metal-oxygen distance (CsNbOP20 7, Ba2Ti0Si 2 0 7,
`KVOF4 and vanadate on silica [18]).
`Although it was believed for years that the emission spectra of these species were
`fully structureless, in recent years vibrational structure has been reported for several
`cases. A beautiful example is given in Fig. 3.19. This relates to vanadate on a silica
`surface. The progression is in a vibrational mode with a frequency of 950 cm- 1 • This
`is the stretching vibration between vanadium and the oxygen pointing out of the silica
`surface.
`The presence of ions with low-lying energy levels, for example ions with
`s 2 configuration, influence the d 0 -complex luminescence drastically. For example,
`CaW04 : Pb2+ (6s2) shifts its emission to longer wavelength relative to undoped
`CaW04 and the quenching temperature goes up. A nice example is YV04 : Bi3+
`(6s2
`) which has a yellow emission, whereas YV04 has blue emission. Arguments
`have been given to ascribe the new emitting states to charge-transfer states in which
`the 6s electron is transferred to the empty dorbital (metal-to-metal charge transfer
`[19]).
`
`3.3.6 d 10 Ions
`
`The emission transitions of ions with d 10 configuration are of a complicated nature
`and are only partly understood. For clarity these ions are here divided into two classes,
`
`Vizio EX1018 Page 0064
`
`

`

`54
`
`3. Radiative Return to the Ground State: Emission
`
`R v
`
`/I\
`000
`I
`I
`I
`Si Si Si
`
`400
`
`600
`500
`Wavelength (nm)
`
`700
`
`Fig. 3.19. Emission spectrum of the vanadate group on silica at 4.2 K
`
`viz. the monovalent ones (Cu+ and Ag+) and the higher valent ones (for example
`zn2+, Ga3+, Sb5+, Te6+).
`
`a. Monovalent Ions
`
`Complexes with monovalent d 10 ions show often efficient emission at room tempera(cid:173)
`ture. For cu+ the reader can find a summary in Ref. [ 19]. The emission transition has
`been assigned to a d 9 s ~ d 10 transition, a ligand-to-metal charge-transfer transition,
`or a metal-to-ligand charge-transfer transition, depending on the ligands. In the mean
`time the first assignment has been put in doubt, since optically detected electron para(cid:173)
`magnetic resonance measurements on the excited state of cu + in NaF point to a very
`low spin density in the Cu 4s orbital [20]. As an alternative, the excited state may be
`thought of as a Cu2+ ion which distorts its surroundings due to the J ahn-Teller effect
`and an electron which has moved away from the hole in the d shell so that an exciton .
`state is formed. This would be another example of an impressive relaxation after the
`absorption process.
`The Stokes shift of the cu+ emission is usually large (:::: 5000 cm- 1
`) , indicating
`the strong-coupling scheme. About the Ag+ ion less is known, but what is known
`shows a similarity with the cu+ data.
`
`b. Higher Valent Ions
`
`Luminescence from higher valent ions with d 10 configuration has been questioned
`for a long time. Nowadays there exists strong evidence for such a luminescence.
`Examples are Zn4 0(B02 ) 6 , LiGa02 , KSiSb0 5 and LiZrTe06 . The Stokes shifts are
`very large. Table 3.2 gives some spectral data [21 ].
`The nature of this emission is not yet completely clear, but probably it is a
`charge-transfer transition, LMCT in absorption. However, also a transition on the
`oxygen ion (2p6 ·~ 2p5 3s) plays a role. Such an interpretation implies indeed a large
`
`Vizio EX1018 Page 0065
`
`

`

`3.3. Some Special Classes of Luminescent Centers
`
`55
`
`Table 3.2. Some data on the luminescence of complexes with a central d 10 metal ion. All values
`at 4.2 K and in cm- 1
`
`•
`
`Compound
`
`Z14B60l3
`LiGa02
`KSbSi05
`Li2ZrTe06
`
`Complex
`Zn(II)04
`Ga(III)04
`Sb(V)06
`Te(VI)06
`
`Emission max.
`22.000
`27.000
`21.000
`16.000
`
`Excitation max.
`40.000
`45.000
`41.500
`33.000
`
`Stokes shift
`18.000
`18.000
`20.500
`17.000
`
`Table 3.3. Stokes shift of the Bi3+ emission in several host lattices [23].
`Stokes shift (cm- 1)
`800
`1800
`2700
`7700
`8500
`10800
`16000
`17600
`19200
`20000
`
`Composition
`Cs2NaYC1 6 : Bi
`ScB0 3 : Bi
`YAl3B4012: Bi
`CaLaA104 : Bi
`LaOCl :Bi
`La20 3 : Bi
`Bi2Al409
`Bi4Ge3012
`LaP04 : Bi
`Bi 2 Ge309
`
`amount of relaxation in the excited state and has been confirmed by molecular-orbital
`calculations.
`Indeed the 0 2 -
`ion, when isolated in the lattice, can yield an emission of the
`type 2p5 3s --+ 2p6 . Examples are LiF: 0 2 -, CdF2 : 0 2 - and SrLa2 0Be04. Since the
`3s electron in the excited state has a widely spread orbital, this transitiOn on oxy(cid:173)
`gen, charge transfer in d 0 complexes and charge transfer in d 10 complexes can be
`considered as three members of one family.
`
`3.3. 7 s 2 Ions
`
`Ions with outer s 2 configuration are of large importance in the field of luminescence.
`In principle their spectroscopy is well understood [22]. The influence of the host
`lattice on these properties is drastic which fact is considerably less understood.
`Well-known luminescent ions in this class are TJ+, Pb2+, Bi3+ (all 6s2 ), and Sn2+,
`Sb3+ (both 5s2
`). The influence of the host lattice can be illustrated by comparing
`Cs2 NaYC1 6 : Bi 3 + where the emission consists of a narrow band with considerable
`vibrational structure and a small Stokes shift (800 cm- 1) and LaP04 : Bi 3+ where
`the emission consists of a broad band without any structure at all and

This document is available on Docket Alarm but you must sign up to view it.


Or .

Accessing this document will incur an additional charge of $.

After purchase, you can access this document again without charge.

Accept $ Charge
throbber

Still Working On It

This document is taking longer than usual to download. This can happen if we need to contact the court directly to obtain the document and their servers are running slowly.

Give it another minute or two to complete, and then try the refresh button.

throbber

A few More Minutes ... Still Working

It can take up to 5 minutes for us to download a document if the court servers are running slowly.

Thank you for your continued patience.

This document could not be displayed.

We could not find this document within its docket. Please go back to the docket page and check the link. If that does not work, go back to the docket and refresh it to pull the newest information.

Your account does not support viewing this document.

You need a Paid Account to view this document. Click here to change your account type.

Your account does not support viewing this document.

Set your membership status to view this document.

With a Docket Alarm membership, you'll get a whole lot more, including:

  • Up-to-date information for this case.
  • Email alerts whenever there is an update.
  • Full text search for other cases.
  • Get email alerts whenever a new case matches your search.

Become a Member

One Moment Please

The filing “” is large (MB) and is being downloaded.

Please refresh this page in a few minutes to see if the filing has been downloaded. The filing will also be emailed to you when the download completes.

Your document is on its way!

If you do not receive the document in five minutes, contact support at support@docketalarm.com.

Sealed Document

We are unable to display this document, it may be under a court ordered seal.

If you have proper credentials to access the file, you may proceed directly to the court's system using your government issued username and password.


Access Government Site

We are redirecting you
to a mobile optimized page.





Document Unreadable or Corrupt

Refresh this Document
Go to the Docket

We are unable to display this document.

Refresh this Document
Go to the Docket