LED´s Physics

Vishay Telefunken
Physics of Optoelectronic Devices
Light-Emitting Diodes
This section deals with the principles and
characteristics of the technically most important types
of visible emitters which are formed, without special
lateral structures, as whole-area emitters.
Materials for LEDs
The materials for light-emitting diodes in the visible
spectrum (400 - 700 nm) are semiconductors with
bandgaps between 1.8 and 3.1 eV, with Eg
(eV) = hν = 1240 /l (nm). In order to permit effective
recombination, the materials should have direct
band-to-band
transitions
or
permit
other
recombination paths with high efficiency. Neither of
these requirements are fulfilled by the well-known
semiconductors silicon and germanium, as their
bandgaps are too small and they are indirect by nature.
As a further requirement, the materials have to enable
manufacturing in the form of monocrystals (volume
crystals or at least epitaxial layers) and a sufficiently
developed technology must be available for
processing.
Element combination from groups III and V of the
periodic element system results in semiconducting
compounds with bandgaps between 0.18 eV (InSb)
and approximately 6 eV (AlN); see figure 1.
I
H
Li
Na
K
II
III
IV
V
VI
VII
Be
Mg
Ca
B
Al
Ga
C
Si
Ge
N
P
As
O
S
Se
F
Cl
Br
VIII
He
Ne
Ar
Kr
In
Sn
Sb
Te
J
Xe
Zn
Rb
Sr
Cd
V
III
Al
N
AlN
P
AlP
As
AlAs
Sb
AlSb
Ga
6.0
GaN
2.45
GaP
2.15
GaAs
1.65
GaSb
In
3.4 *
InN
2.26
InP
1.42 *
InAs
0.73 *
InSb
1.95 *
1.34 *
0.36 *
0.18 *
Figure 1. Periodic system of elements and III-V
compounds
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For every composition the bandgap is given in eV.
Direct semiconductors are denoted by an asterisk.
The largest direct bandgaps are found in the
group III – nitrides GaN and InN. These nitrides will
supercede silicon carbide as semiconducting material
for blue light emitting diodes within the next few years.
Gallium arsenide has a direct bandgap of 1.42 eV and
is not only important for light emitting diodes, but is
also a significant substrate material.
III–V compounds can form mixed crystals with
properties between those of the binary compounds.
The most important mixed crystal systems pertaining
to LEDs are GaAs–AlAs, GaAs – GaP, InP – GaP –
AlP.
The bandgap and the lattice constant of Gal-xAlxAs
and GaAsl-xPx are shown in figure 2. The direct region
is shown as a solid line and the indirect region as a
dashed line. Up to x = 0.44 (band gap 1.96 eV),
Gal-xAlxAs is direct, and the lattice constant changes
only slightly over the whole mixture range. The highest
direct bandgap for GaAsl-xPx is 1.99 eV (x = 0.45). In
the indirect region of GaAs1-xPx, the efficiency of
radiating
recombination
can
be
increased
considerably by doping with nitrogen (isoelectronic
center). This reduces the effective bandgap by
approximately 0.06 eV (second dashed line).
The bandgaps required for common LED colors are
marked at the top of figure 2. Whereas red emission
can be achieved with Ga0.6Al0.4As or GaAs0.6P0.4
(both direct), the indirect GaAsl-xPx:N is used for the
other colors.
In figure 3, the bandgaps and lattice constants of
InGaAlP are presented. In this diagram, binary
compounds are shown as points, ternary compounds
as lines, and the quaternary mixed crystal InGaAlP as
a shaded area. The binary crystals InP, GaP and AlP
form the apecies. Their characteristic form is a result
of the complex nature of the band structure and the
transition from the direct to the indirect region and vice
versa. The diagram shows which InGaAlP
compositions are direct and which mixed crystals are
lattice matched to a given substrate material. Both are
necessary prerequisites for the manufacture of
particularly bright light emitting diodes. The vertical
dashed line drawn through the direct bandgap region
shows the compositions that are exactly lattice
matched to, and can be manufactured on a
GaAs substrate. The corresponding notation
In0.5(GaxAl1–x)0.5P gives the ratio of the amounts of
atoms in the crystal lattice. The bandgap is direct if the
aluminium concentration is below x = 0.7. The
spectral region from red via orange and yellow to green
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Vishay Telefunken
can be covered by variation of x in InGaAlP. Extremely
high luminescent effiencies for orange and yellow are
obtained in double heterostructures of InGaAlP
situated on a Bragg reflector on a GaAs substrate.
95 11428
orange 625nm
yellow 590nm
red 660nm
green 565nm
0.570
AlAs
Lattice Constant ( nm )
GaAs
0.565
Ga0.56Al0.44As
0.560
GaAs0.55P0.45
0.555
GaAs1–xPx:N
0.550
GaP
0.545
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
Bandgap ( eV )
Figure 2. Bandgaps and lattice constants
95 11463
3.0
450
Indirect Region
Bandgap ( eV )
500
AlAs
550
GaP
Direct Region
600
650
700
2.0
AlInGaP Compositions
Lattice Matched to GaAs
800
1.5
Wavelength ( nm )
AlP
2.5
GaAs
InP
1.0
5.4
5.5
5.6
5.7
5.8
Lattice Constant ( A )
5.9
Figure 3. Bandgaps and lattice constanst for InGaAlP
2
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Vishay Telefunken
Technologies
The figures below show two structures on a GaAs
substrate: figure 4, standard red and figure 5, DH-red.
Standard red consists of GaAs0.6P0.4 which was
deposited with a GaAs1–xPx buffer layer on a n-GaAs
substrate by vaporphase epitaxy. The element is
manufactured in a planar process with masked Zn
diffusion. The substrate is opaque in this case. This
means that the rear contact can be provided over the
complete area.
A new type of LED for applications where a particularly
high brightness is required is shown in figure 8. The
structure is similar to that of a DH-red element. A
double heterostructure is arranged on a
light-absorbing GaAs substrate. A combination of a
Bragg reflector between the substrate and
DH-structure and window layer on the DH-structure
effect an extremely high luminescent efficiency in this
type of LED.
p-Electrode (Al)
Si3N4
p-Diffusion
Al
p-Diffusion
Si3N4
n–Ga(AsP):N
x=0.4
x=0.6/0.85
n-GaAs1–xPx
n-GaAs1–xPx
n-GaAs Substrate
n-GaP Substrate
96 11509
n-Electrode (Au)
96 11511
AuGe
Figure 4. Standard red
Figure 6. Orange and yellow
The DH-red element consists of three epitaxial layers
on p-GaAs substrate. The active layer with 35% Alcontent is manufactured between two layers of
Gal-xAlxAs of 60% Al content.
AuZn
u
p-GaP:N
n-GaP:N
n-Electrode (Au)
u
n-GaP
n-Ga1–xAlxAs (x 0.6)
p-Ga0.65Al0.35As
p-Ga1–xAlxAs (x 0.6)
u
p-GaAs Substrate
n-GaP Substrate
96 11513
AuGe
96 11510
Figure 7. Green
p-Electrode (Au)
p-Electrode (Al)
Figure 5. DH-red
Other standard LEDs are shown in figures 6 and 7.
The chips for orange and yellow are similar to the
standard red type. Due to the large amount of P, 0.6 or
0.85, the material is deposited with suitable buffer
layers on the transparent GaP substrate, and a
reflective rear contact is provided. The green element
consists entirely of GaP and can therefore be
manufactured with liquid-phase epitaxy. The grown
PN junction is divided by mesa etching in this example
to enable measurement of individual chips on the
wafer.
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p-Type Window Layer
AlInGaP-DH-Structure
Reflector
n-GaAs Substrate
96 11512
n-Electrode (Au)
Figure 8. AlInGaP technology
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Vishay Telefunken
Anode
White LED
GaN, InGaN
SiC Substrate
16 026
Backside Metallization
Cathode
Figure 9. Blue GaN / InGaN
In general white light is a mixture of the 3 basic colors
red, green and blue. A cost effective solution is white
light out of only one chip by using the physical principle
of luminescence conversion. A high brightness
InGaN-based LED chip, mounted in the reflector cup
is covered by a luminescence converter consisting of
an inorganic phosphor material dissolved in Silicon,
while the whole system is embedded in transparent
epoxy resin. Part of the blue light is absorbed by a
YAG–Phosphor converter and emitted at a longer
wavelength. The complementary colors blue and
yellow mix to form white.
LED Characteristics
Liquid-phase elements generally have a higher
efficiency than comparable vapor-phase elements.
For applications in which a Si detector is to be used as
a receiver, for example, the emitted radiated power fe
is important. If, however, the receiver is the human
eye, the light flux fv is decisive.
Figure 10 shows the sensitivity of the human eye in
accordance with DIN 5031. The maximum value is
683 lm/W at 555 nm. Green LEDs are close to this
maximum value, while the curve for red emission
drops rapidly. An orange LED (630 nm), for example,
appears approximately 5 times brighter than a red
LED (660 nm) at the same efficiency.
4
(lm/W)
1000
100
K m * Vl
The most important characteristics of the LEDs dealt
with here are summarized in table 1. The emission of
LEDs is almost monochromatic and can be
characterized by a peak wavelength (column 4) and a
spectral half bandwidth (column 6). The lowest
spectral half bandwidth is generated by LEDs with
direct band-to-band recombination, while other
mechanisms and material inhomogeneities lead to
wider emission. Here, it is evident that the efficiency
drops as the wavelength is reduced.
10
acc. DIN
5031 part 3
565nm
668 lm/W
green
650nm
73 lm/W
red
1
400 440 480 520 560 600 640 680 720 760 800
96 11579
l – Wavelength ( nm )
Figure 10. Human eye sensitivity diagram
Electrically, LEDs are ordinary PN diodes (except for
GaN). The most important parameter for normal
operation is the forward voltage VF. (Table 1, third
column from the right) where the numerical value in V
corresponds approximately to the bandgap of the
semiconductor used. The speed of LEDs is
characterized by their switching times (last columns);
red LEDs made of direct materials are fastest, while
indirect types are considerably slower due to the
special recombination mechanism. Generally, LEDs
are robust and their lifetimes (more than 105 hours) are
more than sufficient for practically all applications.
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Vishay Telefunken
50
Forward Current ( mA )
40
LED
30
U = US – (R IF)
US = 5V
R = 140W
20
F–
10
I
Due to the rapid current rise in the forward direction,
LEDs are always connected in series with a current
limiting element. Figure 11 shows how the working
point is set with a series resistor. If the supply voltage
varies greatly, a constant current source is used.
Digital displays and similar devices are often operated
in multiplex mode. The seven data lines carry the
information for the digits in a time-staggered manner.
Each LED is operated for one-quarter of the time with
four times the current in order to achieve the same
intensity as in continuous operation. In displays with
larger numbers of LEDs, it is advisable to reduce the
number of driver stages and connecting leads. Due to
the diode characteristics of LEDs, a large number of
LEDs can be operated with only a few leads if the
circuit is designed accordingly.
0
0
1
2
3
4
5
VF – Forward Voltage ( V )
96 11580
Figure 11. LED operating point
Table 1. Typical technology characteristics@ IF = 10 mA
Color
Technology
gy
Red
GaAlAs on GaAs
Red
GaAsP on GaP
Red
AlInGaP on GaAs
Red
AlInGaP on GaAs
Softorange AlInGaP on GaAs
Softorange
GaAlAs on GaP
Yellow
AlInGaP on GaAs
Yellow
GaAsP on GaP
Green
GaP on GaP
Pure Green
GaP on GaP
True Green
InGaN on SiC
Blue Green
InGaN on SiC
Blue
InGaN on SiC
Blue
GaN on SiC
White
InGaN/YAG on SiC
lp
ld
nl
nm
nm
nm
650
648
20
635
620
38
643
630
15
620
618
20
610
605
17
610
605
36
590
588
20
585
590
38
565
570
38
555
560
22
518
523
35
503
505
30
463
470
25
428
466
65
5500K
not
x =0.33 / y =0.33 defined
fv
fe
mlm
60
30
150
300
300
25
200
30
35
12
250
200
75
25
220
mW
0.82
0.20
1.44
1.15
0.92
0.06
0.39
0.05
0.05
0.02
0.55
0.79
1.21
0.96
1.21
VF
V
1.80
2.00
1.90
1.85
1.90
2.00
1.90
2.00
2.00
2.00
3.10
3.20
3.60
3.70
3.60
tr
ns
100
300
45
45
45
300
45
300
450
450
30
30
30
30
30
tf
ns
100
150
30
30
30
150
30
150
200
200
30
30
30
30
30
Efficiency*
lm/W
3.3
1.5
7.9
16.2
15.8
1.3
10.5
1.5
1.8
0.6
8.1
6.3
2.1
0.7
6.1
*This table gives an overview comparision for all major Vishay technologies.
Some LED datasheets might state minor differences.
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Vishay Telefunken
Conversion Tables
Table 2. Corresponding radiometric and photometric definitions, symbols and units.
Definition
Power
Radiometry
Symbol
Radiant flux
(radiant power)
Radiant emittance/
exitance
Radiant intensity
Output power
per unit area
Output power
per unit solid angle
Output power
Radiance
per unit solid angle
and unit emitting area
Input power
Irradiance
per unit area
Energy
Radiant energy
Energy per unit area
Radiant exposure
(irradiation)
Photometry
Symbol
Unit
Luminous flux
(luminous power)
Luminous
exitance
Luminous
intensity
Fv
Unit
Lumen
lm
Mv
lm/m2
Iv
candela,
cd
Fe
Watt, W
Me
W/m2
Ie
W/sr
Le
W/m2*sr
Luminance
Lv
cd/m2
Ee
W/m2
Illuminance
Ev
Lux, lx
lx = lm/m2
Qe
Ws
Luminous energy
(quantity of light)
Qv
lm * s
Hv
(lm*s)/m2
He
(W*s)/m2 Light exposure
Table 3. Luminance Conversion Units (DIN 5031 part 3)
Unit
cd * m–2 asb
sb
-2
1 cd*m
1
π
10-4
1 asb (Apostilb)
1/π
1
1/π∗10-4
1 sb (stilb)
104
π∗104
1
4
4
1 L (Lambert)
1/π 10
10
1/π
1 cd*ft-2
10.764 33.82 1.076*10-3
1 fl (Footlambert) 3.426 10.764 3.426*10-4
1 cd*in -2
1550
4869
0.155
L
π∗10-4
10-4
π
1
3.382*10-3
1.0764*10-3
0.4869
cd * ft–2
fL
cd * in–2
Notes
-2
-4
9.29*10
0.2919 6.45*10
2.957*10-2 0.0929 2.054*10-4
929
2919
6.452
2
2.957*10
929
2.054
1
π
6.94*10-3 ft = foot
1/π
1
2.211*10-3
144
452.4
1
in = inch
Table 4. Illuminance Conversion Units
Unit
1 lx
1 lm*cm–2
1 fc (footcandle)
6
lx
1
104
10.764
lm * cm–2
10–4
1
10.764*10–4
fc
0.0929
929
1
Notes
instead of lm*cm–22, formerly
y Phot ((ph))
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Vishay Telefunken
Special Notes and Conversion Diagrams
[
[ 164 lx
a) At standard illuminant A:
1 klx
6.1 mW/cm2 or 1 mW/cm2
b) At 555 nm it is valid: 683 lm
1W
634.5 lm/ft2
1 mW/cm2
[
[
c) 1 lumen/ft2 = 1 footcandle
4 p candlepower = 1 lumen (lm)
250
1.0
200
0.8
150
0.6
540
560
580
ld
y
500
100
0.4
600
W
S(x,y)
490
v
E /E
e
( lx/mW/cm2 )
520
50
0.2
700
400
0
2000
2200
2400
2600
2800
Tf – Color Temperature ( K )
96 11581
0
0
3000
Figure 12. Ev/Ee (Tf)
96 11583
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
x
Figure 14. Chromaticity diagram acc. to CIE 1931
1.8
Z
1.6
1.4
X, Y, Z
1.2
Y=V(λ)
1.0
X
0.8
0.6
0.4
X
0.2
0
350 400 450 500 550 600 650 700 750 800
96 11582
λ – Wavelength ( nm )
Figure 13. Color matching functions acc. to CIE 1931
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7