Problem 63
Question
The smectic liquid crystalline phase can be said to be more highly ordered than the nematic. In what sense is this true?
Step-by-Step Solution
Verified Answer
The smectic liquid crystalline phase is more highly ordered than the nematic phase because it exhibits both orientational and positional order in the arrangement of its molecules. While the nematic phase has molecules that align along a common axis (orientational order), it lacks positional order, resulting in random molecular positions like in a conventional liquid. The smectic phase, on the other hand, has both orientational order and additional positional order where molecules arrange themselves into layers or planes with definite spacing, creating a more organized structure.
1Step 1: Discuss the characteristics of the nematic phase
The nematic phase is a type of liquid crystalline phase in which the molecules exhibit orientational order, meaning they tend to align along a common axis called the director. However, there is no positional order in the arrangement of molecules in the nematic phase, which means that their positions are random like in a conventional liquid.
2Step 2: Discuss the characteristics of the smectic phase
The smectic phase is also a type of liquid crystalline phase, which exhibits orientational order similar to the nematic phase. However, in addition to the orientational order, molecules in the smectic phase have positional order as well. This means that the molecules tend to arrange themselves into layers or planes with a definite spacing between them, creating a more organized structure.
3Step 3: Compare the order of the nematic and smectic phases
To understand why the smectic phase is considered to possess a higher order than the nematic phase, we can compare their ordering characteristics. While both phases exhibit orientational order, the smectic phase has an added layer of positional order that is absent in the nematic phase. This additional ordering in the smectic phase causes its molecules to be more organized in space, which increases the overall order of the phase.
In conclusion, the smectic liquid crystalline phase is considered to be more highly ordered than the nematic phase due to the presence of both orientational and positional order in the arrangement of its molecules, whereas the nematic phase exhibits only orientational order.
Key Concepts
Nematic PhaseSmectic PhaseOrientational OrderPositional Order
Nematic Phase
The nematic phase is a fascinating state of matter that lies somewhere between a solid and a liquid. In this phase, molecules are free to move like a fluid, yet they exhibit a degree of order. Each molecule is shaped like a rod and tends to align parallel to a common direction known as the director. This common alignment results in what scientists call 'orientational order'. Imagine a crowd of people all standing and facing the same direction, yet able to move around freely. That's a bit like the nematic phase. However, the positions where these 'people' — or molecules — stand within that crowd are random. There's no fixed pattern, and this is what we mean when we say the nematic phase lacks 'positional order'.
This combination of fluidity and alignment gives nematic materials unique optical properties, often used in liquid crystal display (LCD) technology. When an electric field is applied, the orientation of these normally aligned molecules changes, affecting the way light passes through them and thereby altering the display.
This combination of fluidity and alignment gives nematic materials unique optical properties, often used in liquid crystal display (LCD) technology. When an electric field is applied, the orientation of these normally aligned molecules changes, affecting the way light passes through them and thereby altering the display.
Smectic Phase
Stepping up in the level of structural complexity, we encounter the smectic phase. Like its nematic counterpart, the smectic phase also showcases 'orientational order' with molecules aligning along a common axis. But here's the kicker—the smectic phase takes organization a step further with the addition of 'positional order'. The molecules arrange themselves into distinct layers, like pages in a book or layers of a lasagna. These layers can slide over one another, which imparts some fluidity to the phase, but within the layers, the molecules are well-ordered.
The extra layer of organization makes the smectic phase more rigid than the nematic phase and is pivotal in technologies that require a precise degree of control over molecular orientation and movement. For instance, some smectic phases are used in more advanced liquid crystal displays where the quality of the image is critical, offering superior resolution and stability.
The extra layer of organization makes the smectic phase more rigid than the nematic phase and is pivotal in technologies that require a precise degree of control over molecular orientation and movement. For instance, some smectic phases are used in more advanced liquid crystal displays where the quality of the image is critical, offering superior resolution and stability.
Orientational Order
To grasp 'orientational order', think of a squad of soldiers standing at attention. Regardless of how closely they stand to one another (their positions), they're all facing the same direction. This is analogous to molecules in certain liquid crystalline phases that orient themselves along an imaginary line in space. This uniform orientation across a group of molecules is what creates 'orientational order'.
It's this distinctive alignment that gives liquid crystals their ability to interact with light in particular ways. This phenomenon is the underlying principle behind the reaction of liquid crystals in response to electric fields, temperature changes, or mechanical forces. Changing the direction of this 'molecular army' can significantly alter the properties of the material, which is why orientational order is so vital in applications such as electronic displays and sensors.
It's this distinctive alignment that gives liquid crystals their ability to interact with light in particular ways. This phenomenon is the underlying principle behind the reaction of liquid crystals in response to electric fields, temperature changes, or mechanical forces. Changing the direction of this 'molecular army' can significantly alter the properties of the material, which is why orientational order is so vital in applications such as electronic displays and sensors.
Positional Order
On the other hand, 'positional order' refers to a more disciplined lineup of our soldiers, where not only are they facing the same direction, but they also maintain a regular distance from one another, standing in a well-defined pattern. Drawing a parallel to liquid crystals, 'positional order' is observed when molecules are not only uniformly oriented but also regularly spaced. They might form ordered rows, layers, or even a three-dimensional grid-like structure.
The occurrence of positional order is dependent on factors like temperature and the nature of the molecules themselves. Such order is particularly indispensable in materials where structural periodicity dictates their unique properties, such as photonic crystals which control the flow of light, and in various other nanotechnology applications.
The occurrence of positional order is dependent on factors like temperature and the nature of the molecules themselves. Such order is particularly indispensable in materials where structural periodicity dictates their unique properties, such as photonic crystals which control the flow of light, and in various other nanotechnology applications.
Other exercises in this chapter
Problem 59
Describe what is occurring at the molecular level as a substance passes from the solid to the nematic liquid crystalline to the isotropic (normal) liquid phase
View solution Problem 62
Liquid crystalline phases tend to be more viscous than the isotropic, or normal, liquid phase of the same substance. Why?
View solution Problem 65
Describe how a cholesteric liquid crystal phase differs from a nematic phase.
View solution Problem 68
CdS has a band gap of \(2.4 \mathrm{eV}\). If large crystals of \(\mathrm{CdS}\) are illuminated with ultraviolet light they emit light equal to the band gap en
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