Designing a Liquid Crystal Display
Team Members: Kevin Cheng, Chujiao Ma, Heena Mutha
Fall 2008
Differential Scanning Calorimeter (DSC)
Having observed a qualitative phase transition under the microscope, we decided to quantify the phase transition using the DSC. We found an endothermic and exothermic peak at 33.7 ⁰C, indicating a first-order phase transition, similar to the 35 ⁰C given in the literature [2]. We also observed another endothermic peak at 40 ⁰C, which might be related to overcoming the energy associated with the surface pinning, which was suggested in the subsequent DSC test.
For the second DSC test, we scratched the pan with sandpaper to create a surface treatment. The large endothermic/exothermic peak continued to occur at 33.7 deg C, but the other endothermic dip occurred at 47.0 deg C. The surface treatment caused a temperature shift of this peak by 6 ⁰C, suggesting that the liquid crystal has a bulk transition at 33.7 ⁰C, but does not reach a completely nematic state until enough energy is available to overcome the surface energetic.
 
Figure 4. DSC of 5CB in untreated and scratched pans. Both experiments exhibit a hysteresis loop as the sample is thermally cycled. The scratched pan had an endothermic peak 7 ⁰C higher than the untreated pan. The untreated pan 5CB sample’s mass was 2.3 mg, and was cycled 6 times from 28 ⁰C to 42 ⁰C. In the scratched surface experiment, the sample’s mass was 3.6 mg, and was cycled 6 times from 28 ⁰C to 52 ⁰C.
We found the latent heat of the first reaction to be 6.02 J/g and the second as 5.403 J/g. The literature value for the latent heat of formation during this phase transition is .8 kJ/mole [2], or 3.16 J/g, an error of 70-90 percent! This indicates that the DSC is not calibrated to make quantitative claims on the latent heats of the reactions observed.
References:
 
[1] Collings, P. 1990. Liquid Crystals: Nature’s Delicate Phase of Matter. Princeton, NJ: Princeton University
[2] Chandrasekhar, S. 1992. Liquid Crystals (2nd ed.). Cambridge,UK: Cambridge University Press.
[3] Chaikin, P.M, Lubensky, T.C. 1995. Principles of Condensed Matter Physics. New York, NY: Cambridge University Press
[4] Daoud, M. and Williams, C.  1999. Soft Matter Physics. New York, NY: Springer-Verlag.
[5] Murphy, D. 2001. Fundamentals of Light Microscopy. New York, NY: John Wiley and Sons
[6] Wolfson, R. and Pasachoff, J. 1998. Physics-for Scientists and Engineers (3rd Ed.). Cambridge, MA: Addison-Wesley
[7] http://walba.colorado.edu/2003_Chem_6321/5cb%20solution/5CB.htm
Typical Assembly of a Liquid Crystal Display
The construction of the LCD utilizes the nematic properties of the liquid crystal, and the capabilities of applying external energies to alter the orientation of the liquid crystal.  These are the critical properties that make it work [1], shown in the figure below:
1. The cell walls have a perpendicular surface treatment that twists the nematic liquid crystal.
2. The glass plates are coated with a conductive material, such as Indium Tin Oxide (ITO) to create electrodes.
3.  The glass plates are separated by thin film spacers (5-25 um) in order to create the required electric field with reasonable voltages.
4. Polarizers on either side, aligned with the surface treatment, allow for the light to be absorbed and transmitted as desired.
Figure 5.  Typical structure of a liquid crystal display.
To determine how temperature affects 5CB, we heated the crystals and observed it between crossed polarizers. The liquid crystals are slightly aligned with the natural surface of the slides, which allows light to go through and produce the silver color that we observed as shown in the figure below. As temperature increases, the liquid crystal enters the isotropic phase and becomes disordered. When the directors are completely randomized, the linearized light is not altered as it passes through the liquid crystal and is therefore absorbed by the polarizers.
The transition happened between 35 to 36 ⁰C. This is in-line with scientific studies that have characterized the phase transition from nematic to isotropic at 35 ⁰C [2]. As we switch between the transitions, the surface alignment changes and there are significant fluctuations as the liquid crystal goes between nematic and isotropic.
Phase Transition
Introduction
In 1888, Friedrich Reinitzer discovered liquid crystals when he was melting cholesterol benzoate crystal and observed two distinct liquid phases [4]. Liquid crystal molecules in the nematic phase are randomly distributed but are locally aligned along the same direction, or director. The director has no  intrinsic preferred orientation, meaning it can be influenced by many external perturbations, such as electric field, the surfaces in contact with the liquid crystals, and thermal energies [4]. Liquid Crystal Displays (LCD) technologies rely on these effects. In order to characterize the liquid crystal, 5CB, our team studied the effects of thermal, surface, and electrical influences by synthesizing a LCD.
Conclusions
By varying thermal, electrical, and surface parameters, we ultimately synthesized a working LCD pixel. We found that the crossed surface treatment is integral to creating a working pixel, as the twisted nematic is required for the transmittance of light through crossed polarizers. Also because a relatively high electrical energy, 1.185 V/um, is required to overcome the surface treatment, the space between the glass plates needs to be very small. The cell that only had a 30 um between the electrodes successfully created a pixel, but the cells with gaps > 100 um were too large to create an electric field that would be strong enough to change the crystal alignment, given the available equipment.
Figure 9: DSC of 5CB in polyamide tape and PVA treated pans. The sample masses for each experiment were 2.4 and 3.0 mg, respectively. Both samples were cycled 6 times from 28 ⁰C to 52 ⁰C.
Surface Pinning Strength
The success of LCD synthesis using a PVA surface treatment led us to the question: does a PVA surface treatment take less energy to overcome than the polyamide tape treatment? We used the DSC to investigate this possibility.
The endothermic dip occurred at 49.0 ⁰C for both treatments, which may be indicative that both surface treatments pin the liquid crystal with similar strength. Further experimentation is necessary to confirm this hypothesis.
Given the results of the DSC and electric field calculations, we conclude that the cell gap size is what influenced the success of the LCD.
Transmissivity
We tested the transmissivity of the liquid crystal slides using the spectrophotometer to get an idea of the efficiency of the LCD. As expected, the slide is more transmissive under crossed polarizers than when heated [4]. As shown in the figure below, the transmissivity drops off at shorter wavelengths, or the UV spectrum. The results with crossed polarizers is even across the spectrum, so the difference in transmissivity is due to the glass slides and the polyamide, both of which are generally UV resistant. As mentioned in the polarizers section, we expect the transmission of the LCD with crossed polarizers to be less than 25% of the original incident light.
Characteristics of Liquid Crystal
Figure 2: Nematic to isotropic phase transition. The transition happens between 35 to 36 degrees.
Figure 3: Isotropic to nematic  phase transition. The image above is from 36 to 35 degrees.
Another characteristic essential to liquid crystals in a LCD is the ability to align with an electric field. To confirm this, we placed 5CB between two electrodes spaced 50 microns apart from each other. At 14.2 volts, we observed the effects shown in figure 4, where there are many Maltese crosses scattered throughout the slide. Maltese crosses are formed when the director in an area diverges from a point in two dimensions [4]. Therefore, the Maltese crosses seen are formed when current flows between the two electrodes, which creates a radial electric field. Although this was not the desired electric response for a LCD, it does prove that liquid crystals do align with an electric field.
Electrical Effect
Figure 4: Electrical effect on ITO slides at 14.2 V.
Figure 6. PVA slides with cross surface treatment viewed under cross polarizers. Polyamide slides with parallel surface treatment viewed under cross polarizers. Polyamide slides with crossed surface treatment viewed under cross polarizers.
Figure 7. The transmission graph of liquid crystal with crossed surface treatment.
Orienting 5CB with Electric Field
We used a typical parallel-plate capacitor configuration to calculate the electric field across the liquid crystal, taking into account the dielectric constant of our polymer surface treatment as shown in the figure below:
In a standard parallel-plate capacitor problem with no dielectric in the middle we have             [6]. With liquid crystal as the dielectric between plates, we have a new electric field:                . Because we have different mediums with different dielectrics, we sum the effects, to find the voltage:
For this system we have:
This implies that a greater dielectric constant for the polymer reduces the field. We found that the dielectric constants of polyamide tape, polyvinyl alcohol,  and liquid crystal are 3.4, 2.0, and 18 respectively [7]. Since the liquid crystal responded at the critical voltage of 75 V,         for PVA is                             ________. Using this electric field, we calculate that the polyamide tape chamber (slide 2) would have needed 510.8 V. This implies that the spacing was very critical to the success of the LCD.
 
Polarizer
Polarizing filters linearize light. Typically, light vibrates in all directions. Polarizers only allow light vibrating in the plane parallel to it to pass [5]. If the second polarizer, the analyzer, is parallel to the first polarizer, then the light that passes through the polarizer will also pass through the analyzer. If the analyzer is oriented perpendicular to the polarizer, then the light passing through the polarizer is perpendicular to direction of the analyzer. Therefore it cannot pass through, and the area appears dark [5].
polarizer.bmp
Figure 1: a) illustration of light passing through a vertical polarizer. b) illustration of two parallel polarizers on top of each other. c) illustration of two crossed polarizers on top of each other.[5]
 
Having studied a variety of liquid crystal characteristics, we built slide 1, using the surface treatment and cell width as given in the table above. The first slide failed to react to an applied electric field. Since the width of the cell might be a factor in this failure, we reduced the chamber size to 10 μm. Also, the surface treatment might be too strong, so we built a cell with PVA and another with the polyamide tape. Out of the three cells, only the third with a distance of 30 μm  showed any response to an electric field.
When we applied a voltage to slide 3, we can visibly see that the light intensity decreases. Although it does not uniformly align the director and go perfectly dark, the fact that the light intensity is reduced proves that the electric field is moving the director from its surface pinning. When the voltage is turned off, the liquid crystals return to the twisted nematic state. We first start seeing a response at 21.4 V, but with an increased electric field, the effects are more intense, widespread and uniform. By 75V we achieve the best response possible given our equipment.
In order to narrow down why slide 3 worked and slide 2 did not, we decided to investigate the strength of the surface treatment using the DSC, and also determine the electric field needed to create a response.
Figure 8: Electrical response of LCD pixel at 0 V (left), 21.4 V (middle), and 75 V (right).
Characteristics of LCD
Building of the Cell
Surface Effect
The liquid crystals take on the alignment of the surfaces they are in contact with [3]. To investigate the effects of surface treatments on the LCD, we made slides with the two materials available to us, Kapton© polyamide tape and polyvinyl alcohol (PVA), which are typically used to make LCDs [1]. We made the PVA and polyamide slides with a crossed surface alignment, which twists the liquid crystals. Then we also made polyamide slides with parallel surface alignment.
As shown below, the PVA and polyamide cross surface treated slides transmit light between crossed polarizers. The slides with parallel surface treatment do not alter the light in any way. When the top and bottom surfaces have different alignment, the liquid crystal aligns with both surface while twists in the middle to make a smooth transition between the plates. This twist allows light to go through crossed polarizers while blocking light when between parallel polarizers [4].
The slides with PVA visually transmits light just as effectively as the slides with polyamide tape. However, we decided to proceed with polyamide tape in our LCD synthesis because it is easier to apply.
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